Question

A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. Additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 900 support the candidate.

A. For purposes of comparing the two proportions, the sampling distribution for the difference in the sample proportions has standard error:

B. 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is:

C. A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. Based on the 95% confidence interval of (0.050, 0.112), can you reject the null hypothesis that there is no difference between the voters' preferences between the northern and southern halves of the state?

yes, because we do not know the P-value

yes, because the value zero is not firmly within the confidence interval

no, because we do not know the P-value

no, because the value zero is not firmly within the confidence interval

Answer 1