Hypothesis testing and confidence interval for two proportions:

For a certain ballot issue, many county voters feel that the proposal will pass because of the large proportion of the city voters who favor the issue.

a) If 120 of 200 town voters favor the issue and 240 of 500 county voters favor the issue, would you agree that the proportion of town voters favoring the issue is higher than the proportion of county voters favoring the issue? Use a 0.025 level of significance.

b) Establish a 99% Confidence interval about the difference in the proportion of the town voters and county voters who favor the proposal.

Hint: Assume p1= the true proportion of town voters who favor the issue and p2 = the true proportion of county voters who favor the issue.