In a study of 404 nonprofits nationwide, 80 indicated that turnover has been the
ID: 3297452 • Letter: I
Question
In a study of 404 nonprofits nationwide, 80 indicated that turnover has been the biggest employment challenge at their organization Complete parts (a) through (c) a Constrct a 95% confidence interval for the population proportion of nonprofts that in cate turnover as the biggest employment challenge at their o ania n SRS (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 5% confidence the proportion of nonproets that indicate turnover as the biggest employment challenge at their organization in the population is n this inte B. with 95% confidence the proportion of nonprofits that indicate turnover as the b ggest employment challenge at their orga uation in the population is in mis interval o c orton of nonprofits that indicate turnover as the biggest employment haler ge-ther organization in the sample is n mes " renal ent chale ge at th or e pa ora on n ne sa pi, a n ma ne val with 5% confidence the pr D with 9S% confidence "ve proportion of nonprofits that i dcate tur over as ne t gyes, e por C. if you wanted to conduct a follow-up shudy to estimsate the population proportion of nonprofits that indicate furnover as the biggest employment challenge at theil organization to witsin 0 01 with 95% confidence how many nonprofits would you survey? Clhck to select your answers)Explanation / Answer
a) Sample Proportion = 80/404 = 0.19802
Margin of error = (1.960*Sqrt(0.19802*(1-0.19802)/404) = 0.038859
95% Interval
(0.19802-0.038859, 0.19802+0.038859)
= (0.159, 0.237)
b) Option B is Correct
c) Sample size needed = (1.960/0.01)^2)*0.19802*(1-0.19802) = 6101