2 questions

In preparing a report on the economy, we need to estimate the percentage of businesses that plan to hire additional employees in the next 60 days.
a) How many randomly selected employers must we contact in order to create an estimate in which we are

9595%

confident with a margin of error of

99%?
b) Suppose we want to reduce the margin of error to

33%.

What sample size will suffice?

c) Why might it not be worth the effort to try to get an interval with a margin of error of

11%?
 
From a survey of coworkers you find that

4848%

of

150150

have already received this year’s flu vaccine. An approximate

9898%

confidence interval is

(0.3850.385,
0.5750.575).
a) How would the confidence interval change if the sample size had been

24002400

instead of

150150?
b) How would the confidence interval change if the confidence level had been

9595%

instead of

9898%?
c) How would the confidence interval change if the confidenc

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