Confidence Intervals for Population ProportionTuesday, March 10, 2020● 8.2 part 1: Which way will the Hershey Kiss land?

AP StatisticsDAY # 24

3

9

213/3 Ch.7 Review & Quiz

● Quiz 7.2 & 7.3● Ch.7 FRAPPY!

READ:noneDO: Ch.7 practice.

● What does 95% confident mean?23 3/9

Confidence Levels

10READ:section 8.1 DO: none

223/5 Intro Confidence

Intervals

● Guess the mystery mean

● Ch.7 MC practice

READ:noneDO: none

● Hershey Kisses24

3/10 Confidence Intervals for Pop. Proportion

READ:pg 492→499 DO:Ch.8 #11→19 odd & #20→24 all

Formulas & TablesCh. 1 Learning Plan

Ch. 2 Learning Plan

Charts & Graphs Project DescriptionCh. 1 One-Pager

Ch. 2 One-Pager

Ch. 3 Learning Plan

Ch. 4 Learning PlanCh. 3 One-Pager

Ch. 4 One-PagerCh. 5 Learning Plan

Ch. 5 One-PagerFinal Exam Study Guide

Nothing new!

Final Exam Review PacketApplebees “OR” vs. Starbucks “OR”Ch. 5 Probability Review Ch. 6 Rules for Means and Variances Ch.6 1-pager Ch.7 NotesCh.7 Learning PlanCh.8 Learning Plan

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Ch.8 Confidence Intervals

1 What’s the mystery mean? (8.1 part 1) 3/5Nothing

new!2 What does 95% confident mean? (8.1 pt 2) 3/9

3 Which way will the hershey kiss go? (8.2 pt1) 3/10

4 What proportion of earth is water? (8.2 pt 2) 3/10

Systematic Random Sampling:Members of the population are put in some order. A starting point is selected at random, and every nth member is selected to be in the sample.

10 Tuesday 3/10/20 B 9/10

Kick Off:

Explain how you could use “systematic random sampling” to select HHS students to participate in a survey. Include enough detail to ensure that this sampling method meets the definition.

Stamps!● B-Page #9/10

● C-page #3

● CW#1: What’s the mystery mean?

● CW#2: What does 95% Confident Mean?

Late work?

● C-Page #1 or #2???

● C-Page #3???

Announcements:● Ch.7&8 Exam next Thurs 3/ 19● All Hands on Deck for Stats: Tues 3/17● Ch.5&6 Exam Corrections due 3/19

○ Correct each problem on separate paper.

○ Write 1 or 2 sentences to explain your mistake or misunderstanding.

○ You can earn up to ½ credit for corrected problems.

Get a computer or your smartphone.

Go to MsRamer.com to find the link for a school technology survey.

When you finish...

Do Check for understanding?(from yesterday)

Do check for understanding

You need:● Pencil

● Pen

● Calculator

● WORKSHEET: Which way will the Hershey Kiss land?

● 12 Hershey Kisses for your team

CW#4

Which way will the Hershey’s kiss land?

Learning Intentions:I will be able to:

● State and check the Random, 10%, and Large Counts conditions for constructing a confidence interval for a population proportion.

● Determine the critical value for calculating a C% confidence interval for a population proportion using a table or technology.

● Construct and interpret a confidence interval for a population proportion.

Work w/ your team to collect your data and complete the first page.

We’ll do #8 as a whole class.

Finish the second page with your team.

Get out a pen to annotate your work.

8.2 Confidence Intervals for Population ProportionIMPORTANT IDEAS:

Conditions:

1. Random (to ensure it’s representative of the population)

2. 10% → n ≤ ⅒ N (so we can use formulas for 𝜇 and 𝜎)

3. Large Counts (so we can use Normal approx.)

Critical Values:

90%: z* = 1.645

95%: z* = 1.960

99%: z* = 2.576

Confidence Interval for P:

To find any %, use (1 - %)/2 and use Table A or InvNorm

S.E. for P

Do check for understanding

A critical value is…. It’s used to...

The difference between “standard deviation” and “standard error” is…

A vocabulary term I learned today was...

Today I learned…

I’m confused about…

Choose 1 or 2.

TURN THIS IN TODAY!

Clean up!!● Put classwork in binder● Pack up your stuff● Put away supplies & clean your area● Straighten desks

● Stay seated w/ backpack off until you’re dismissed