A vote is to be taken among the residents of a town and the surrounding county to determine whether a proposed chemical

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A vote is to be taken among the residents of a town and thesurrounding county to determine whether a proposed chemical plantshould be constructed. The construction site is within the townlimits, and for this reason many voters in the county believe thatthe proposal will pass because of the large proportion of townvoters who favor the construction. To determine if there is asignificant difference in the proportions of town voters and countyvoters favoring the proposal, a poll is taken. The poll results in120 of 200 town voters favor the proposal and 240 of 500 countyresidents favor it. Use an α = 0.05 level of significance. (a)State the hypotheses. (2 marks) (b) Compute the proportion of townvoters p1, the proportion of country voters p2, and the pooledestimate of proportion p. (7 marks) (c) Compute z-value and itscorresponding probability P.