Stat 1510 Class Survey III

8/3/2019 Stat 1510 Class Survey III

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Stat 1510 Class Survey

Laura Lyonshttp://lauralyons.wikispaces.com/

Abstract

The purpose of this observational study is to determine if there is arelationship between different variables. The following questions will be addressed:

Is there a relationship between a persons height and shoe size? Is there a difference in gross income based on gender? Is there a relationship between political party and if the respondent feels

President Obama will be reelected? Is there a relationship between a persons current political party affiliation

and whether or not they changed party affiliation or considered to?

Is there a relationship between gender and political party? Is there a relationship between gender and being in favor of the death penalty? Is there a relationship between gender and being in favor of the heath care

bill?

IntroductionThere are many biological and external factors that shape our views and our

lives and through the use of a survey, we are able to make observations of howthings such as gender, political party affiliation, or a persons income may influencea persons choices and life.

Many statistical studies have been conducted to better understand theseinfluences. One example of this is found in an existing statistical study that linksgender to a persons income. In the current United States Population Survey, itshows the female-to-male earnings ratio at 0.77, reveling a females income is 23%less than a males. (http://www.bls.gov/cps/cpswom2010.pdf). This is just oneexample of how a survey can reveal important social and economic statisticalinformation.

By conducting an observational study through a survey of over 2,500 people

of all ages, we were able to observe different areas of a persons life. We looked atquantitative variables such as physical attributes (weight, height, and shoes size), aswell as a persons water consumption. Some qualitative variables observed weregender, political/moral thought, and political party affiliations. With the datacollected we can explore which elements surveyed are in relationship to anotherand which variables are not.
http://lauralyons.wikispaces.com/http://lauralyons.wikispaces.com/http://www.bls.gov/cps/cpswom2010.pdfhttp://www.bls.gov/cps/cpswom2010.pdfhttp://www.bls.gov/cps/cpswom2010.pdfhttp://www.bls.gov/cps/cpswom2010.pdfhttp://lauralyons.wikispaces.com/


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Procedure

The teacher of a college statistics course provided a questionnaire to hisstudents. Each student was responsible for randomly selecting and surveying 10people. The answers were then compiled into a shared database. For the analysis in

this report, a simple random sample was calculated, making a sample size of 40individuals, with an equal amount of women and men represented in the samplesize.

A select number of questions will be analyzed in this report. The variables wewill be studying are as follows: height, height, weight, shoe size, income, gender,political party, Obamas re-election, Obamas healthcare bill, death penalty, waterconsumption, handedness, and current or change of political party affiliation. Weare looking for any direct correlation between these different variables.

Analysis

Correlations were found with a persons height and shoe size. It was foundthat there was enough evidence to suggest a positive association between a persons

height and a persons shoe size, regardless of gender (female data p=.009, male datap=.027). See the charts and graph following for more information regarding thisobservation.

Womens Height Womens Shoe SizeMean: 64.65 Mean: 7.6750Min: 59 Min: 4

Q1: 63.5 Q1: 7Median: 64 Median: 8

Q3: 67 Q3: 8.75Max: 70 Max: 11

Mens Height Mens Shoe Size

Mean: 71.05 Mean: 10.8Min: 67 Min: 8

Q1: 69 Q1: 9.75

Median: 72 Median: 10.75Q3: 73 Q3: 11.75

Max: 75 Max: 15


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Another observation was made to see if there is a difference in gross incomebased on gender. A median income of $32,500 was found for both male and female.A mean of $35,585 was found for females and a mean of $48,575 for males. See chartthat follows. A Sample T-test was done to see if there was enough evidence tosuggest there was a significant enough difference in income based on gender. With a

p-value of .186 it was concluded that there was not enough evidence to make thisassumption.

Annual Gross Income

Women Men

60000 51000

35000 14000400 13000

40000 125000

40000 150009000 0

80000 105000 12000

80000 14000

3300 6300030000 104000

150000 3000015000 1500010000 150000

38000 150004000 175000

50000 02000 55000

0 75000

65000 35000Min: 0 Min: 0

Q1: 3650 Q1: 13500M: 32500 M: 32500Q3: 55000 Q3: 89500

Max:150000 Max:175000

Mean:35585 Mean: 48575


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The data shows 62.5% of sample group was in favor of the death penaltywhile 27.5% were not in favor and 10% were undecided. More men are in favor

than women with 75% of men surveyed in favor and 50% of women surveyed infavor. A Test of Independence was done to see if there was a relationship betweengender and being for the death penalty. With a p-value of .191 it wasnt possible toconclude that there is a relationship between these two variables. In addition to aTest of Independence, a 2 prop Z-test was done. A p-value of .051 was found, gettingcloser to reject the null hypothesis. It seems that there may be a correlation but withthis small sample size, it isnt possible to statistically determine this relationship.

Death Penalty

In Favor Not in Favor Undecided

Men: 15 4 1Women: 10 7 3Total: 25 11 4


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45% of the sample group is in favor of the healthcare bill with 32.5% not infavor and 22.5% undecided. A 2 prop-Z test was performed to see if there was arelationship between gender and being for the health care bill. With a p-value of.263 it was determined that there isnt enough evidence to suggest that morewomen are in favor of the healthcare bill.

Health Care Bill

In Favor Not in Favor Undecided

Men: 8 7 5

Women: 10 6 4Total: 18 13 9


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In our sample group, 35% label themselves Republican, 40% Democrat, 7.5%Independent, and 17.5% Other. A Test of Independence was done to see if there wasdifference of political party affiliation based on gender. A p-value of .298 concludesthat there isnt a relationship between political party and gender based on our data.

Political Party

Republican Democrat Independent Other

Men: 6 7 3 4Women: 8 9 0 3

Total: 14 16 3 7


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Over half (55%) surveyed believe that President Obama will not be re-

elected. 32% believe he will be and 12.5% are undecided.

Will President Obama be Re-elected?

Yes No UndecidedMen: 5 11 4

Women: 8 11 1Total: 13 22 5

Yes No UndecidedDemocrat: 7 7 1

Republican: 3 9 3Independent: 2 1 0

Other: 1 5 1Total: 13 22 5


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Conclusion

Many of the variables in question were found to be independent and withoutrelationship to the other. In some instances, such as a the relationship betweengender and being for the death penalty, this may of been due to the small sample

population being used for the test. One strong connection was made between therelationship of a persons height and shoe-size. After working with this sample, Iwould conclude that a larger sample size would be useful in determining morerelationships between these surveyed variables.

(Hardcopy of Appendix to be mailed separately)

Stat 1510 Class Survey III

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