Faculty of Management and Tourism------o0o-----

Probabilities and statistics project

FMT students’ satisfaction of Hanoi University sport facilities

16-May-14

Lecturer: Ms. Tran Kim Anh

Tutor: Ms. Trinh Thi Ngoc Lan

Tutorial class: Tut 3BA-12

Tutorial time: 7.15 Tuesday

Group members: Nguyễn Bích Ngọc 1104000079

Nguyễn Thị Nhàn 1104000085

Tạ Tương Phước 1104000092

Trần Thị Hương Quỳnh 1104000098

Trịnh Đức Sơn 1104000101

Nguyễn Thị Diệu Thúy 1104000110

Phạm Thị Tuyết 1104000123

Nguyễn Thành Viên 1104000126

ACKNOWLEDGEMENT

We would like to send our special thanks to Ms. Kim Anh and Ms. Ngoc Lan- our

Statistics teachers for their helpful guidelines during the time we conducted this project due to

great support and help. In addition, we are thankful to FMT students, who contributed their time

to complete our questionnaire and gave many helpful comments to our survey. However,

because this is the very first time we have ever carried out a Statistics project, we cannot avoid

mistakes and irrelevance. Therefore, we hope to receive more comments, feedbacks and

suggestions so that we can improve our skills and get some experiences for future projects.

Abstract

This study is designed to determine how FMT students feel about the

sport facilities in Hanoi University. To conduct this survey, from the

population of all students in FMT, we chose the sample of 100

randomly. Our questionnaire consists of six Multiple-Choice Questions.

The data collected is used to perform one sample z-test for proportion

on infer that at 5% level of significance, at least 60% of FMT students

will be satisfied playing sport at Hanoi University stadium. There are

also many other results and information to make this issue clearer for

the readers.

Table of Contents

ACKNOWLEDGEMENT...........................................................................................................i

Abstract.......................................................................................................................................ii

I. Introduction.........................................................................................................................1

II. Methodology........................................................................................................................1

1. Population and Sample....................................................................................................1

2. Questionnaire Design.......................................................................................................1

3. Sample size......................................................................................................................2

4. Sampling method and data collection..............................................................................2

5. Data processing................................................................................................................3

6. Significance level of test..................................................................................................3

III. Descriptive of results and findings..................................................................................3

IV. Results and findings of the hypothesis test......................................................................7

1. Research question............................................................................................................7

2. Data analysis....................................................................................................................7

V. Evaluation............................................................................................................................8

1. Limitation.........................................................................................................................8

2. Implication.......................................................................................................................9

VI. Conclusion and recommendations...................................................................................9

Appendix 1: Survey for Probability and Statistics Project........................................................iv

Appendix 2: Survey result..........................................................................................................v

I. Introduction

Playing sports is always an important thing for everyone in general as well as FMT students in

particular. A comfortable place to play sports not only helps people feel interested in exercises

but also enhances the effect of the sports on health. Due to a very tight timetable and the

enormous pressure of the specialized subjects, playing sports is essential for FMT students.

Therefore, Hanoi University has built facilities to help the students play sports, even beyond the

physical education curriculum. Nowadays, there are a large number of students playing sports at

university stadium regularly. That represents the satisfaction of many students for Hanoi

University sports facilities. However, public sports venues are growing and growing, which have

attracted many students to participate because of the quality and abundance of facilities.

This research was conducted to investigate about the satisfaction levels of students about Hanoi

University’s sports material foundations. This report will be divided into six parts. Firstly, we

present about the method used in order to approach and illustrate the survey’s results. Secondly,

we apply these methods to make conclusion whether the initial assumption is true or not. Finally,

recommendation is final part which supports for our studies.

II. Methodology

1. Population and Sample

Population: 1000 students of Faculty of Management and Tourism (FMT), Hanoi

University.

Sample: 100 students from the population, which presents characteristics of the

population.

2. Questionnaire Design

The research focuses on the favorite of FMT’s students about sports facilities at Hanoi

University. Because of short timing, we build the questionnaire which includes five relevant

questions but we make sure that this provides meaningful information closely relating to the

given factor to help us obtain data for our research project. We attach the questionnaire in

appendix 1

In the questionnaire, the first question was designed to know what sport students like

playing most. The second question is aimed that we want to know how much time FMT’s

students spend per day playing sports. Afterwards, we can have information about where

students play (home, university or other places) by building the third question. The most

important question is listed as a key to evaluate the level of satisfaction of students about the

sport facilities with four criteria and each has five levels for students to score briefly. Finally,

after having the specific judgments about the sport facilities, the fifth question is to collect the

opinion of FMT students about their overall feelings about sport facilities.

3. Sample size

The total population is 1000 FMT students, thus we should have a sample size of several

tens taken into account. We expect the sample estimates to be reasonably accurate, then we base

on some test statistics and its assumptions. We intend to use Z-test for population with

assumption of proportion and we decide that the sample size of 100 is considered to be suitable

and large enough to ensure the reliability of the test for the population.

4. Sampling method and data collection

We decide to use simple random sampling method (without replacement) to gain a relatively

accurate result for the survey. Our population is all students of FMT department and we only chose

randomly 100 of that to survey.

We distributed questionnaire for 100 students who are in the list of sample. We list 100

students who completed the survey and assign each student a number ranging from 1 to 100. To complete

the list, we use Excel with the following commands:

o Select B1, fill 1

o Choose tab HomeàEditàFillàSeries

o Fill in the Series box as guided in Picture1

After collecting the questionnaire, we record the data in Excel and use the

information to draw charts, tables.

5. Data processing

Microsoft Excel is the most often used tool to calculate necessary statistics

(standard deviation, mean, median, and mode …)

6. Significance level of test

As the project requires the relative accuracy, we believe that the level of

significance of test α = 0.05 is most suitable.

III. Descriptive of results and findings

1. Question 1

Football

Badminton, V

olleyb

all, T

able

Tennis

Walk

ing, Running

Aerobics

Others0

10203040

Sport choices

The bar chart shows FMT student’s choices about sport. The most popular choice is

group “Badminton, Volleyball, Table tennis”, which 36 students choose to play. The second

position belongs to group “Walking, Running” that has 3 less students playing. Eighteen

(including 13 men) and 12 (female) students took “Football” and “Aerobics” options

respectively, which are reasonable results. Finally, just 11 students decide to play other kinds of

sport.

2. Question 2

How much time FMT students spend play-ing sport per day

Less than 1 hour1-2 hoursMore than 2 hours

The collected results of the question about how much time FMT students take to play

sport in a day is presented at pie chart above. The largest figure is 62% of students spending

less than 1 hour per day playing sport. In contrast, only 5% told that their average time for sport

per day is greater than 2 hours. Besides, “1-2 hours” choice that is good for health in scientific

point accounted for 33%. It can be seen clearly that the majority of students should spend more

time for sport every day.

3. Question 3

38%

31%

31%

The main destinations that FMT's student choose to play sports

At homeAt Hanoi UniversityOthers places

To find the fact that whether FMT students actually use the sport facilities at university

frequently or not, we had the research question and the answers of students are showed as the

chart above. The pie chart represents information on the places that FMT’s students usually play

sports: at home, at Hanoi University and other places. As can be seen from the chart, the

proportion of people spending time for sport activities at Hanoi University and other options are

quite the same. There are 31% of students who are used to play at Hanoi University and home.

While 38 % of people asked said that they usually come to other places such as: parks, public

stadium and places for rent to do exercises and play sports. It was the largest sector.

4. Question 4

Stadium Volleyball court Table tennis room Exercise room0

102030405060708090

100

The percentage of FMT student's satisfaction degree about 4 current facilities in Hanoi Univer-

sity

very badbadnormalgoodvery good

The result of question 4 in the bar chart demonstrates the level of satisfaction belonging

to each separate facilities at Hanoi University, it includes stadium (having running race),

volleyball court, table tennis room and exercise room. There are five levels of satisfaction from 1

to 5 correspond to very bad, bad , normal, good and very good estimation respectively.

Regarding to the stadium condition, the majority of student taking part in this survey

(60%) are satisfied with university stadium. In fact, 31% of FMT’s students gave the mark of 4

while 29% of them felt very satisfied and mark 5. In contrast, 6% shared that the current stadium

is quite bad; it does not meet the demand of their need, so they marked 2. Similarly, 10% of

people having the strong dissatisfaction ticked at only 1.The students who do not satisfy account

for 10%.

About the volleyball court, nearly a half of students expressed that Hanoi University

courts are normal in comparison with other colleges (46%). Over one fourths of them are

interested in volleyball court and marked it 4. Only 3% of the students feel really satisfied and

gave the highest mark. Nevertheless, the percentage of dissatisfaction student giving 1 and 2 are

approximately the same, 10% and 12% respectively.

Table tennis and exercise room are not as popular as the first two sport facilities. The

highest proportion of survey participants appraising for this two facilities are in 3 blanks, exactly

the same stood at 39%.However, the volume of satisfaction of them is quite difference. When

being asked about table tennis room, the percentage of people feeling satisfied is nearly smaller

than dissatisfaction but the difference is only 4%.That means there are 22% of FMT students

giving 2 as bad and 10% of students tick 1 as very bad, while also 22% are quite enjoyable to

mark 4 and 6% really are enjoyable with table tennis room. For exercise room, the number of

students who do not feel pleasurable is nearly three times as many as the number of student

feeling pleasurable.

IV. Results and findings of the hypothesis test

1. Research question

The objective of our project is to answer the question that whether there is enough evidence

at the 5% significance level to indicate that the proportion of FMT students satisfied with the

sport facilities at Hanoi University is at least 60%.

Assumption

The population is followed the binomial distribution because:

The experiment consists of 100 identical trials

Each trial has two outcome: success( satisfied with sport facilities) or

failure(not satisfied with sport facilities)

The probability p of a success remain constant for each trial

Each trial of the experiment is independent

The sample proportion is approximately normally distributed

because the sample size is large enough:

np=100∗0.6=60>5 n(1−p)=100(1−0.6)=40>5

We decided to use Z test of proportion.2. Data analysis

In this case, there are two categories: satisfied or not satisfied with sport facilities at Hanoi

University. Based on the result of survey, 72 out of 100 FMT students are pleased with the Hanoi

University sport facilities.

Sample size: 100 Level of significant α=0.05 Hypothesized population proportion: p=60 %

Hypothesis testing procedure:

The step statistical inference process is as follow:

Step 1: Select the null and the alternative hypothesisH0: p=0.6HA: p>0.6

Step 2: Z test for proportion: z= p̂−p

√ p (1−p )n

Step 3: Level of significant α=0.05⟹z0.05 =1.645

Step 4: Decision rule: reject H0 if z>z0

Step 5: Calculate the value of the test statistic

Number of successes: x=72

Sample proportion: p̂= xn= 72

100

z=p̂−p

√ p (1−p )n

=

72100

−0.6

√ 0.6∗0.4100

=2.449

Step 6: Conclusion:Since z = 2.449 >z0.05 ⟹ reject H0 at α=0.05

Conclusion: there is enough statistical evidence to infer that at significant level of 0.05, at least 60% FMT students feel satisfied with the sport facilities at Hanoi University.

V. Evaluation

1. Limitation

We have conducted objective project based on the collection of results of questionnaires

distribution, there are still some problems occurred. For example, because of the scare about

private information, some students skipped giving their information such as full name, ID, major

or class and email address. It will be harder for us to have an accurate result.

It is hard for us to meet all students of FMT because of a large number of students with

different schedules or their absences sometimes. We collected the result randomly from 100

FMT students, so the errors or differences between statistic and parameter are still exists. We

cannot ensure that all students from FMT have the same idea with 100 randomly students.

Therefore, we use available information to estimate possible outcomes of population and draw

conclusion. Besides, timing is short so that we only chose 100 students as the sample size. That

means the sample size is quite small compared to population of 1000, hence, the hypothesis test

less accurate.

2. Implication

In spite of some limitations indicated above, it is undeniable that this study is a useful

reference for Physical Education Department to have a sight of their students’ satisfaction with

their facilities and subject. As a result, Physical Education Department can base on the

evaluation of FMT student to identify whether the facilities should be improved or not.

Moreover, from the hobby of FMT students, they can serve the subject that these students like,

hence, FMT students will study more effectively and reduce retake and restudy rate.

VI. Conclusion and Recommendation

According to the results of our project, we now have enough evidences to conclude that at

least 60% FMT students are satisfied with the sport (exercise) facilities at Hanoi University. We

used the questionnaire including 5 questions to interview randomly 100 FMT students. Although

the satisfaction degree of almost students is at a high level, just about 31% out of the total

students often play sports at school, which means that the school facilities are not the best choice

for them. Based on the statistics collected from our survey, it can be seen clearly that when

students spend time playing sports at school, most of them will choose the stadium as a good

place to play sports. We agree that the stadium area is quite large and favorable for sport

activities. Students do not need to spend money to rent another place to play sports; they can

come to the stadium because it's absolutely free. Students can play lots of different sports here,

so it can be said to satisfy people’s demands.

Basing on the collected result, our group proposes several recommendations to improve the

current situation and raise the number of students who are satisfied with school facilities. At first,

Hanoi University should focus on improving the quality of the stadium to serve many different

types of sport such as soccer, volleyball, basketball, jogging and so on. For example, many male

students want to play football at the stadium, however the quality of the football field surface

does not meet their needs. Specifically, grass grows a lot in football field surface, which leads to

many troubles in the football matches. To solve this problem, the school should plan to improve

the stadium surface quality, such as regular mowing grass or cleaning up the pitch.

Besides that, there is still a fairly complex problem and we think that it is the main cause of

student dissatisfaction with school facilities, namely the impact of the external. As you know,

Hanu students spend quite much time after class to play sports in the stadium. However, the

problem is that there are so many people coming from other places to play sports here, which

cause our students, do not have enough space. Therefore, we suggest that the security officers

should prevent people outside from playing sports at the stadium area.

In additions, the school should also improve and upgrade sport equipment and exercise

rooms so students will have more options and interest to exercise at school. For further research,

we recommend a wider scope with the larger number of students, which could provide different

results as each respondent with his or her own ability may have various attitudes and feelings to

this mentioned issue and different ways to cope with any difficulty caused by new specialized

majors at first stages. In addition, we are not experts in this field; limitation during the project is

inevitable; so, we are hopeful that our future project will be consulted by some experienced

people to make the result more persuasive.

Appendix 1: Survey for Probability and Statistics ProjectQUESTIONNAIRE

FMT student’s satisfaction of sport facilities

At Hanoi University

We are Nguyen Bich Ngoc, Nguyen Thi Nhan, Ta Tuong Phuoc, Tran Thi Huong Quynh, Trinh

Duc Son, Nguyen Thi Dieu Thuy, Pham Thi Tuyet and Nguyen Thanh Vien from Tut 3BA12, Hanoi

University. We are doing a research project about student’s satisfaction of Hanoi University facilities.

This useful questionnaire will help us collect data for our project. We highly appreciate your opinions

which are apparently crucial to the completion as well as the quality of our project.

Thank you for your cooperation!

Personal information:

Your full name:.............................................................................................................................................

Your student ID:............................................................Class: ....................................................................

Your email:...................................................................................................................................................

Question:

1. What sports do you like playing most?

A. Football

B. Badminton, Volleyball, Table tennis.

C. Walking, Running

D. Aerobics.

E. Others.

2. How much time do you often spend playing sports per day?

A. Less than 1 hour

B. 1-2 hours

C. More than 2 hours

3. Where do you often play sports?

A. At home

B. At Hanoi University

C. Other places

4. What level of satisfaction do you score for the following facilities at Hanoi University campus?

Rank

Facilities

1 2 3 4 5

Stadium

Volleyball courts

Table tennis room

Exercise room

5. In general, are you satisfied with sport (exercise) facilities at Hanoi University?

A. Yes

B. No

Appendix 2: Survey result

Question 1 Question 2 Question 3 Question 4 Question 5

No Full Name ID A B C D E A B C A B C A B C D

1 Trần Hồng Vui 1004000100 * * * 4 3 5 3 Yes

2 Đào Quỳnh Nga 1207060091 *

 * * 5 5 4 2 Yes

3 Phạm Thị Hồng Pương 1206090063 *  * * 5 4 4 5 Yes

4 Phạm Thị Hồng Ngọc 1206090053  * * * 3 3 2 2 No

5 Đặng Quốc Việt 1206090089 * * * 2 1 2 1 Yes

6 Nguyễn Tiến Thắng 1206090068 * * * 4 3 4 5 No

7 Lê Hoài Thu 1206090077  * * * 5 3 2 2 Yes

8 Ngô Thị Hải Yến 1204010122 * * * 1 4 5 2 No

9 Tô Phan Long 1206090042 * * * 2 3 3 2 Yes

10 Mai Thị Trà My 1104000075 *

 * * 5 4 4 4 No

11 Nguyễn Thị Thanh Hiền 1104000037 * * * 3 3 2 2 Yes

12 Phạm Thị Liên 1206090032 * * * 2 1 4 3 No

13 Vũ Thuỳ Linh 1106090042  * * * 4 4 3 3 Yes

14 Đào Duy Hùng 1204000040 * * * 4 3 3 2 No

15 Trần Tuấn Minh 1204000063 * * * 4 4 3 1 Yes

16 Đoàn Linh Phương 1204000075  * * * 2 2 2 3 No

17 Hà Thị Kiều Ngân 1104000077 * * * 5 3 2 2 Yes

18 Ngô Thị Thanh Trà 1104000112 * * * 1 1 3 4 No

19 Nguyễn Thị Hoa 1104000040 * * * 4 4 3 3 Yes

20 Nguyễn Thị Hải Hạnh 1206090013 * * * 4 2 4 3 Yes

21 Đinh Thị Phương Thảo 1206090070 * * * 5 2 2 2 No

22 Vương Hồng Vân 1206090088 * * * 4 3 4 3 Yes

23 Đặng Mỹ Nga 1206090047 * * * 1 1 1 2 Yes

24 Nguyễn Thị Nga 1206090049  * * * 5 5 3 2 Yes

25 Nguyễn Hữu Triệu Phong 1204000072 * * * 5 3 1 2 Yes

26 Hoàng Thị Hằng 1206090017 * * * 4 4 3 2 Yes

27 Trần Thị Thuỳ Dung 1206090008 * * * 4 3 3 2 Yes

28 Nguyễn Thị Bích Liên 1104000060 * * * 4 3 4 3 Yes

29 Dương Thu Hằng 1204000039 * * * 3 2 2 3 Yes

30 Kiều Hương Ly 1104040062 *

 * * 4 4 4 4 No

31 Nguyễn Khắc Phúc 1204000073 * * * 5 4 4 1 Yes

32 Nguyễn Thu Trang 1007090072 * * * * 5 4 3 3 Yes

33 Nguyễn Quang Bắc 1204000016 * * * 5 4 3 3 Yes

34 Nguyễn Hữu Đạt 1204000022  * * * 3 3 3 3 Yes

35Nguyễn Thị Phương Thảo 1204040084 * * * 5 4 4 4 Yes

36 Lê Thanh Bình 1204000017  * * * 5 3 2 1 Yes

37 Nguyễn Thị Yến 1204000113 * * * 3 3 3 3 Yes

38 Trần Thị Hoàng Anh 1204000013 * * * 3 3 3 3 Yes

39 Vũ Thuỳ Linh 1204000059  * * * 3 3 3 3 Yes

40 Nguyễn Ngọc Linh 1204000056  * * * 5 4 2 3 Yes

41 Đào Ngọc Nguyên 1204000066 * * * 3 3 3 3 Yes

42 Lê Thu Huyền 1006090029 *

 * * 5 4 2 1 Yes

43 Trương Thu Hà 1006090016 * * * 3 2 2 2 No

44 Hoàng Thu Hương 1204000043 * * * 4 2 5 2 No

45 Đặng Thị Quỳnh 1106090059 * * * 4 3 3 3 Yes

46 Lê Thị Thành 1204000086 * * * 4 3 4 2 Yes

47 Phạm Thị Huyền 1204000046 * * * 4 1 1 1 Yes

48 Phạm Thu Hiền 1204010032 *

 * * 4 3 3 3 No

49 Trần Thị Minh Nhự 1106090054 * * * 4 4 3 2 Yes

50 Đỗ Thị Kiều Trang 1106090077 * * * 1 3 3 5 Yes

51 Vũ Anh Trang 1206090087 * * * 3 3 3 2 Yes

52 Đặng Thị Mai Hoa 1106090024 * *

 * * * 4 4 1 3 No

53 Thân Thị Hạnh 1204000034 * * 3 4 2 2 No

54 Phạm Thị Hà Anh 1204040007 * * * 5 3 2 2 No

55 Hà Nam Ninh 1204000071 *

 * * 4 4 4 3 Yes

56 Trần Thị Vân 1204000109 * * * * 3 3 4 3 No

57 Vũ Văn Cương 1004000010 * * * 3 4 Yes

58 Lê Thị Linh 1104000061 * * * 4 3 2 3 Yes

59 Ngô Thị Loan 1104000069 * * * 4 3 3 3 Yes

60 Nguyễn Quang Huy 1104000048 *

 * * 4 4 3 3 No

61 Nguyễn Thu Hương 1104040038 * * * * 5 3 3 3 Yes

62 Nghiêm Thị Thuỳ 1204040091  * * * 3 3 3 3 Yes

63 Nguyễn Thị Trang 1104040100 * * * 1 3 1 1 No

64 Nguyễn Ngọc Anh 1204040004 *

 * * * 3 1 1 1 No

65 Đồng Thị Út 1204040102 * * * 5 3 4 2 Yes

66 Đỗ Thị Kim Liên 1204040050  * * * 1 1 3 4 Yes

67 Lưu Hà Phương 1204040077  * * * 3 3 3 2 Yes

68 Nguyễn Thị Hảo 1104010084 * * * 3 2 2 2 No

69 Lê Hồng Hảo 1004000020  * * * 3 3 2 2 No

70 Đào Ngọc Sơn 1104000099 *

 * * 4 3 3 4 Yes

71 Nguyễn Thị Thương 1104000107 *  * * * 4 3 3 2 No

72 Phạm Thị Chung 1204000019 * * * 2 1 3 3 Yes

73 Lữ Thị Hồng Nhung 1104000087  * * * 4 3 4 3 No

74 Văn Thị Thu Trang 1104000119 * * * * 4 3 3 3 Yes

75 Phạm Thị Tuyết 1104000123 * * * 5 4 5 3 Yes

76 Nguyễn Thị Hương 100400030  * * * 3 3 2 2 No

77 Phan Thị Bích Ngọc 1104040068 *  * * 2 1 1 1 Yes

78 Hoàng Mạnh Thái 1204040081 *  * * * * 2 1 1 5 No

79 Tạ Tương Phước 1104000092 *  * * * 4 4 5 4 Yes

80 Trần Minh Ngọc 1204040070  *  * * 3 3 4 3 Yes

81 Nguyễn Thanh Trà 1104000113 * * * 4 3 3 2 Yes

82 Lê Thị Nhàn 1104010066 * * * 1 3 3 3 Yes

83 Trần Thị Hường 1104010037 * * * * 1 3 4 3 Yes

84 Đặng Thị Mai 1104010051 * * * 3 3 1 1 Yes

85 Hoàng Phương Duyên 1104040019 * * * 5 4 3 2 Yes

86 Lê Thị Hoài 1104010029 *

 * * 5 4 3 3 Yes

87 Đinh Quang Hoà 1101040077 * * * 5 4 3 3 Yes

88 Nguyễn Việt Tú 1104010105 *  * * 5 5 4 4 Yes

89 Trần Lê Anh Thái 1104040085 *  * * 1 2 2 4 No

90 Hoàng Tố Uyên 1104000124 *  * * * 3 2 2 2 Yes

91 Nguyễn Bích Ngọc 1104000079  * * * * 3 2 2 1 No

92 Vương Kim Yến 1004000103 * * * 5 2 2 1 Yes

93 Lê Minh Thuý 1104040093 *  * * * 4 3 4 3 Yes

94 Nguyễn Ngọc Minh 1004040065 * * * 3 3 3 2 Yes

95 Trịnh Đức Sơn 1104000101 * * * 5 4 5 4 Yes

96 Hoàng Đức Thành 1104000103 * *   * 4 4 3 1 Yes

*

97 Nguyễn Mai Phương 1104000094  * * * 5 2 1 3 Yes

98 Đinh Thi Minh Huyền 1204040042 * * * 5 4 4 4 Yes

99 Hoàng Tây Phương 1104000093 * * * 1 4 4 4 Yes

100 Tạ Thị Ánh 1104000013  * * * 5 3 3 3 Yes