In a study of 368 San Francisco Bay Area nonprofits, 224 reported that they are collaborating with other organizations to provide services, a necessity as nonprofit agencies are called upon to do more with less.
a. Construct a 95% confidence interval for the proportion of San Francisco Bay Area nonprofits that collaborated with other organizations to provide services.
b. Interpret the interval constructed in (a).
c. If you wanted to conduct a follow up study to estimate the population proportion of San Francisco Bay Area nonprofits that collaborated with other organizations to provide service to within ±0.01 with 95% confidence, how may Bay Area nonprofits would you survey?