A 95% confidence interval for the proportion of viewers of a certain reality television show who are over 30 years old is (0.26, 0.35). Suppose the show’s producers want to test the hypothesis 0:=0.25 against :≠0.25 . Which of the following is an appropriate conclusion for them to draw at the = 0.05 significance level?

Reject 0 ; there is not convincing evidence that the true proportion of viewers of this reality TV show who are over 30 years old differs from 0.25.

Reject 0 ; there is convincing evidence that the true proportion of viewers of this reality TV show who are over 30 years old differs from 0.25.

Fail to reject 0 ; there is not convincing evidence that the true proportion of viewers of this reality TV show who are over 30 years old differs from 0.25.

Reject 0 ; there is convincing evidence that the true proportion of viewers of this reality TV show who are over 30 years old is greater than 0.25.

Fail to reject 0 ; there is convincing evidence that the true proportion of viewers of this reality TV show who are over 30 years old equals 0.25.