In a study of 418 nonprofits​ nationwide, 83 indicated that turnover has been the biggest employment challenge at their organization. 1. Construct a 95% confidence interval for the population...

In a study of 418 nonprofits​ nationwide, 83 indicated that turnover has been the biggest employment challenge at their organization.

1. Construct a 95% confidence interval for the population proportion of non-profits that indicate turnover as the biggest employment challenge at their organization.

2. 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?

3. 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?