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A group of hospital researchers want to find out what is the percentage of men applying...

A group of hospital researchers want to find out what is the percentage of men applying to all nursing schools in the United States. They take a sample of 300 applications including 45 from men. c) Which one is the best confidence interval and why? Explain d) What happen to the width of the confidence interval as the confidence level is increased?

Math   Statistics-And-Probability   
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Answer #1

c)

99% confidence interval is best

in part a we have calculated confidence interval for 95% and 99% out of this two confidence interval 99% confidence interval is best because, 99% confidence interval is wider than 95% confidence interval so 99% confidence interval contains the actual proportion of of men applying to all nursing schools in the United States

d)

The width of confidence interval increases as the confidence level increases.

because, as confidence level increases the margin of error increases, which leads to the increase in width of confidence interval.

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