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 the critical value if the level of significance is 0.10?
A)−1.282
B)±1.645
C)−2.576
D)+2.576

Question

Quizplus · Accepted Answer

To find the critical value, we need to use a z-test. We can use the formula z = (p̂ - p) / √(p(1-p) / n), where p̂ is the sample proportion, p is the claimed proportion, n is the sample size, and we assume a two-tailed test since we don't have a specific direction. Setting α = 0.10, we find the z-value that corresponds to the area between -0.05 and 0.05 (the middle 90% of the distribution). Using a standard normal table or calculator, we find that z = ±1.645. Therefore, the critical value is ±1.645.

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