Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM 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 $\alpha$ = 0.01?
A) Fail to reject the null hypothesis and conclude about 41%.
B) Reject the null hypothesis and conclude different from 41%.
C) Fail to reject the alternate and conclude different from 41%.
D) Reject the alternate and conclude it is 41%.

Question

Quizplus · Accepted Answer

The sample proportion (36%) is close to the population proportion claimed by the CBS affiliate (41%), and without further statistical tests provided (like a z-test or p-value), we cannot conclude that there is a significant difference. Therefore, we fail to reject the null hypothesis, which would state that the true proportion is about 41%.

Based on the Nielsen Ratings, the Local CBS Affiliate Claims α\alphaα

Based on the Nielsen Ratings, the Local CBS Affiliate Claims $\alpha$