Recently, great interest was shown in the slow growth initiative in Podunk. The initiative, opposed by land developers and others, is favored by many residents of Podunk as a proposal to stem rapid growth, smog, and traffic congestion while improving the quality of life and the economy of Podunk. A random sample of 600 registered voters yields 360 in favor of the slow growth initiative.

a. Compute the 95% confidence interval for the population proportion of registered voters who favor the slow growth initiative.

b. Interpret this confidence interval.

c. How many registered voters should be sampled in order to be 99% confident of being within 1% of the population proportion of registered voters who are in favor of the slow growth initiative?