Exercise 5: Confidence Intervals for the Population Proportion On May 6, 2021, Pew Research Center published poll results on American's attitudes towards abortion. The report showed that 59% of Americans believe that abortion should be legal all or most cases. Construction confidence intervals at the 95% levels for respondents who are Democrat/Lean Democrat and Republican/Lean Republican. Here are the statistics: Party % 3,252 1,706 Democrat/Lean Democrat 80% Republican/Lean Republican 35% 1. What are the point estimates for Democrat/Lean Democrat and Republican/Lean Republican? Party Democrat/Lean Democrat Republican/Lean Republican Point Estimate 2 What is the appropriate z-value to use when constructing a confidence interval at the 95% confidence level? Use the Area Under the Curve Table and Excel. When using Excel, round your answer to three decimal places passed the decimal point. Confidence Z-value z-Value Level (Table) (Еxcel) Excel Formula 95% (0.95) =ABS(NORM.S.INV(0.025)) 3. Calculate the three confidence intervals using a 95% confidence level. You may do this by hand or with Excel. You must show your work. Your answer must include the Point Estimate, Margin of Error (MoE), Lower Confidence Limit (LCL), and the Upper Confidence Limit (UCL). Excel does not have a Confidence Interval function for proportions. (Show your work. Use Excel.) p(1 - p) p±z n 4. What do the confidence intervals you constructed tell you? 5. What would happen to the confidence intervals if you changed the level of confidence? 6. What would happen to the confidence interval if you increase the sample size?
Exercise 5: Confidence Intervals for the Population Proportion On May 6, 2021, Pew Research Center published poll results on American's attitudes towards abortion. The report showed that 59% of Americans believe that abortion should be legal all or most cases. Construction confidence intervals at the 95% levels for respondents who are Democrat/Lean Democrat and Republican/Lean Republican. Here are the statistics: Party % 3,252 1,706 Democrat/Lean Democrat 80% Republican/Lean Republican 35% 1. What are the point estimates for Democrat/Lean Democrat and Republican/Lean Republican? Party Democrat/Lean Democrat Republican/Lean Republican Point Estimate 2 What is the appropriate z-value to use when constructing a confidence interval at the 95% confidence level? Use the Area Under the Curve Table and Excel. When using Excel, round your answer to three decimal places passed the decimal point. Confidence Z-value z-Value Level (Table) (Еxcel) Excel Formula 95% (0.95) =ABS(NORM.S.INV(0.025)) 3. Calculate the three confidence intervals using a 95% confidence level. You may do this by hand or with Excel. You must show your work. Your answer must include the Point Estimate, Margin of Error (MoE), Lower Confidence Limit (LCL), and the Upper Confidence Limit (UCL). Excel does not have a Confidence Interval function for proportions. (Show your work. Use Excel.) p(1 - p) p±z n 4. What do the confidence intervals you constructed tell you? 5. What would happen to the confidence intervals if you changed the level of confidence? 6. What would happen to the confidence interval if you increase the sample size?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Can you please answer number 2 and 3
Transcribed Image Text:Exercise 5: Confidence Intervals for the Population Proportion
On May 6, 2021, Pew Research Center published poll results on American's attitudes towards abortion. The report
showed that 59% of Americans believe that abortion should be legal all or most cases.
Construction confidence intervals at the 95% levels for respondents who are Democrat/Lean Democrat and
Republican/Lean Republican. Here are the statistics:
Party
%
3,252
1,706
Democrat/Lean Democrat
80%
Republican/Lean Republican
35%
1. What are the point estimates for Democrat/Lean Democrat and Republican/Lean Republican?
Party
Democrat/Lean Democrat
Republican/Lean Republican
Point Estimate
2
What is the appropriate z-value to use when constructing a confidence interval at the 95% confidence
level? Use the Area Under the Curve Table and Excel. When using Excel, round your answer to three
decimal places passed the decimal point.
Confidence
Z-value
z-Value
Level
(Table)
(Еxcel)
Excel Formula
95% (0.95)
=ABS(NORM.S.INV(0.025))
3.
Calculate the three confidence intervals using a 95% confidence level. You may do this by hand or with
Excel. You must show your work. Your answer must include the Point Estimate, Margin of Error (MoE),
Lower Confidence Limit (LCL), and the Upper Confidence Limit (UCL). Excel does not have a
Confidence Interval function for proportions. (Show your work. Use Excel.)
p(1 – p)
p±z
n
4.
What do the confidence intervals you constructed tell you?
5.
What would happen to the confidence intervals if you changed the level of confidence?
6.
What would happen to the confidence interval if you increase the sample size?
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