English, 03.04.2020 02:35 yoyo0123

A pollster is interested in comparing the proportions of women and men in a particular town who are in favor of a ban on fireworks within town borders. The pollster plans to test the hypothesis that the proportion of women in favor of the ban is diﬀerent from the proportion of men in favor of the ban. There are 4,673 women and 4,502 men who live in the town. From a simple random sample of 40 women in the town, the pollster finds that 38 favor the ban. From an independent simple random sample of 50 men in the town, the pollster finds that 27 favor the ban. Which of the following statements is true about this situation?

(A) Because the samples are from normal populations, a two-proportion z-test would be valid.

(B) Because the size of each sample is greater than 30, a two-proportion z-test would be valid.

(C) Because the number who favored the ban is greater than 10 in both groups, a two-proportion z-test would be valid

(D) Because of the relative sizes of the populations and samples, a two-proportion z-test would be valid.

(E) A two-proportion z-test would not be valid for these data.

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