In a study of 405 nonprofits? nationwide, 87 indicated that turnover has been the biggest employment challenge at their organization. Complete parts? (a) through? (c).
a.Construct a 95?% confidence interval for the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization.
_____≤p≤______
b.Interpret the interval constructed in part? (a).Choose the correct answer below.
A.With 95?% ?confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval.
B.With 5?% ?confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval.
C.With 5?% ?confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval.
D.With 95?% ?confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval.
c.If you wanted to conduct a? follow-up study to estimate the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization to within ±0.03 with 95% ?confidence, how many nonprofits would you? survey?
A sample of nothing nonprofits should be surveyed.