The mayor's disapproval rating was previously 13%.After a political ad campaign for a city's mayor,pollsters check the disapproval ratings.They test the hypothesis that the ads produced no change against the alternative that the ratings are now below 13%,and find a P-value of 0.11.Provide an appropriate conclusion using α = 0.10.
A)There is an 89% chance the ads produced no change in ratings.
B)If the ads produced no change in the mayor's disapproval rating,then there is an 11% chance of seeing a sample proportion as low (or lower)than that which we observed from natural sampling variation.At α = 0.10,we reject the null hypothesis and conclude that the disapproval rating is below 13%.
C)There is an 11% chance the ads produced no change in ratings.
D)We can say there is an 11% chance of seeing the ads produce a ratings change in the results we observed from natural sampling variation.We conclude the disapproval ratings are lower.
E)If the ads produced no change in the mayor's disapproval rating,then there is an 11% chance of seeing a sample proportion as low (or lower)than that which we observed from natural sampling variation.At α = 0.10,we fail to reject the null hypothesis that the disapproval rating is 13%.There is insufficient evidence to conclude that the disapproval rating is below 13%.

Question

Quizplus · Accepted Answer

With a P-value of 0.11 and α = 0.10, we fail to reject the null hypothesis that the ads produced no change in the mayor's disapproval rating. Therefore, we cannot conclude that the disapproval rating is now below 13%. Option A and C are not valid as they talk about the chance that the ads produced no change, which is not directly related to the hypothesis test. Option B is partially correct in explaining the concept of the P-value but is incorrect in stating that we reject the null hypothesis. Option D is incorrect as it mentions that the ads produced a ratings change, which is not stated in the hypothesis test.

The Mayor's Disapproval Rating Was Previously 13