In a random sample of 257 potential voters registered in the state of Vermont, 78 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 265 potential voters registered in South Dakota, 96 indicated that they planned to vote in the next general election. Can we conclude, at the 0.01 level of significance, that the proportion p1 of all potential voters in Vermont who plan to vote differs from the proportion p2 of all potential voters in South Dakota who plan to vote? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. Round to three or more decimal places. c. Find the p-value. Round to three or more decimal places. d. Can we conclude that the proportion of voters in Vermont who plan to vote differs from the proportion of voters in South Dakota who plan to vote?
In a random sample of 257 potential voters registered in the state of Vermont, 78 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 265 potential voters registered in South Dakota, 96 indicated that they planned to vote in the next general election. Can we conclude, at the 0.01 level of significance, that the proportion p1 of all potential voters in Vermont who plan to vote differs from the proportion p2 of all potential voters in South Dakota who plan to vote? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below.
a. State the null hypothesis H0 and the alternative hypothesis H1.
b. Find the value of the test statistic. Round to three or more decimal places.
c. Find the p-value. Round to three or more decimal places.
d. Can we conclude that the proportion of voters in Vermont who plan to vote differs from the proportion of voters in South Dakota who plan to vote?
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