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
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 |
- What are the point estimates for Democrats, Republicans, and Independents?
|
Party |
Point Estimate |
|
Democrat |
|
|
Republican |
|
|
Independent |
|
- 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)) |
- 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.)
|
|
- What do the confidence intervals you constructed tell you?
|
|
- What would happen to the confidence intervals if you changed the level of confidence?
|
|
- What would happen to the confidence interval if you increase the
sample size ?
|
|
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