Question

Question 3:

In a study of 362 nonprofits nationwide, 98 indicated that the greatest employee retention challenge they face is an inability to pay competitively.

a. Construct a 95% confidence interval for the population proportion of nonprofits that indicate inability to pay competitively as the greatest employee retention challenge at their organization. __________________

b. If you wanted to conduct a follow-up study to estimate the population proportion of nonprofits that indicate inability to pay competitively as the greatest employee retention challenge at their organization to within ±0.03 with 95% confidence, how many nonprofits would you survey (i.e. what sample size is required)? ____________

Answer 1

( a )

95% confidence interval for the population proportion is 0.225<p<0.316,

( b )

sample size is n = 844