he Kaiser Family Foundation (KFF) COVID-19 Monitor conducts a respected survey on American’s attitudes on the COVID-19 vaccine. KFF conducted a telephone survey on 1,862  adults 18 and older from March 15-22. Of the 1,862 respondents, 1,596 provided their party identification:   Here are the results for “eager to get the vaccine or had already received the vaccine.”* Party % n Democrat 79% 577 Republican 46% 157 Independent 57% 298

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Exercise 5: Confidence Intervals for Proportions

The Kaiser Family Foundation (KFF) COVID-19 Monitor conducts a respected survey on American’s attitudes on the COVID-19 vaccine. KFF conducted a telephone survey on 1,862  adults 18 and older from March 15-22. Of the 1,862 respondents, 1,596 provided their party identification:

 

Here are the results for “eager to get the vaccine or had already received the vaccine.”*

Party

%

n

Democrat

79%

577

Republican

46%

157

Independent

57%

298

 

  1. What are the point estimates for Democrats, Republicans, and Independents?

Party

Point Estimate

Democrat

 

Republican

 

Independent

 

 

  1. What is the appropriate z-value to use when constructing a confidence interval at the 95% and 99% confidence levels?

Confidence Level

z-value (Table)

z-Value (Excel)

 

Excel Formula

95% (0.95)

 

 

=ABS(NORM.S.INV(0.025))

99% (0.99)

 

 

=ABS(NORM.S.INV(0.005))

 

  1. 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.)

 

 

  1. What do the confidence intervals you constructed tell you?

 

 

  1. What would happen to the confidence intervals if you changed the level of confidence?

 

 

  1. What would happen to the confidence interval if you increase the sample size?

 

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