Questions: In a study of 420 nonprofits nationwide, 88 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. ≤ π ≤ (Type integers or decimals. Round to three decimal places as needed.) 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 sample 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 sample is in this interval. C. 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. D. 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. 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 ± 0.02 with 95% confidence, how many nonprofits would you survey? A sample of nonprofits should be surveyed. (Round up to the nearest integer.)

Transcript text: In a study of 420 nonprofits nationwide, 88 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. $\square$ $\leq \pi \leq$ $\square$ (Type integers or decimals. Round to three decimal places as needed.) 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 sample 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 sample is in this interval. C. 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. D. 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. 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 $\pm 0.02$ with $95 \%$ confidence, how many nonprofits would you survey? A sample of $\square$ $\square$ nonprofits should be surveyed. (Round up to the nearest integer.)