please answer A through F

Show your work for full credits 1. (10 points) A vote is to be taken among the residents of a town and the surrounding county to determine whether a proposed chemical plant should be constructed. The construction site is within the town limits, and for this reason many voters in the county believe that the proposal will pass because of the large proportion of town voters who favor the construction. To determine if there is a significant difference in % of voters favoring the proposal between the town and the county, a poll is taken. If 120 of 200 town voters favor the proposal and 240 of 500 county residents favor it, would you agree that the % of town voters favoring the proposal is higher than that of county voters? Use =0.05 level of significance. (a) (2 points) State the null and alternative hypotheses. (b) (2 points) What do the parameters in the hypotheses represent? (c) (1 points) Which method would you use: 1-sample T, 1-sample Z, 2-sample T, 2-sample Z? (d) (3 points) Calculate the test statistic and the p value. (e) (1 points) State your conclusion in the context of the problem, i.e. whether % of town voters favoring the proposal is higher than that of county voters. (f) (1 points) Based on your conclusion, what's the type of error you could make