Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is your decision if α = 0.01?
A)Fail to reject the null hypothesis.
B)Reject the null hypothesis and conclude the newscast does not reach 41% of the audience.
C)Fail to reject the alternate and conclude the newscast does not reach 41% of the audience.
D)Reject the alternate and conclude the newscast reaches about 41% of the audience.

Question

Quizplus · Accepted Answer

Given the information, we do not have sufficient evidence to reject the null hypothesis that the newscast reaches 41% of the audience. The sample percentage (36%) is close to the claimed percentage (41%), and without conducting a formal hypothesis test here, we typically fail to reject the null hypothesis when the sample estimate is reasonably close to the population parameter being tested, especially considering a stringent significance level of α = 0.01.

Based on the Nielsen Ratings,the Local CBS Affiliate Claims Its