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 the z-statistic?
A) 1.02
B) 1.22
C) -1.02
D) -1.22

Question

Quizplus · Accepted Answer

The z-statistic is calculated using the formula: z = (p_hat - p) / sqrt(p(1-p)/n), where p_hat is the sample proportion (0.36), p is the population proportion (0.41), and n is the sample size (100). Plugging in the values, z = (0.36 - 0.41) / sqrt(0.41*0.59/100) = -1.02.

Based on the Nielsen Ratings, the Local CBS Affiliate Claims