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
E) None of these statements are true

Question

Quizplus · Accepted Answer

The z-statistic is calculated using the formula: z = (p̂ - p) / √(p(1-p)/n), where p̂ = 0.36, p = 0.41, and n = 100. Plugging in these values gives z = (0.36 - 0.41) / √(0.41*0.59/100) = -1.02.

Based on the Nielsen Ratings, the Local CBS Affiliate Claims