In a study of 362 nonprofits nationwide, 98 indicated that the greatest employee retention challenge they face is an inability to pay competitively. (Data extracted from 2015 Nonprofit Employment Practices Survey, Nonprofit HR, bit.ly/1SbD0Ir.)

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. Interpret the interval constructed in (a).

c. 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 ± 0.01 with 95% confidence, how many nonprofits would you survey?