A candidate for one of Ohios two US Senate seats wishes to 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?

Solution

Since given confidence interval does not zero so on the basis of sample evidence we cannot conclude that  there is no difference between the voters\' preferences between the northern and southern halves of the state. That is on the basis of sample evidence we can reject the null hypothesis.