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 z-test statistic?
A)1.02
B)1.22
C)−1.02
D)−1.22

Question

Quizplus · Accepted Answer

The z-test statistic is calculated using the formula $z = \frac{\hat{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$, where $\hat{p}$ is the sample proportion, $p$ is the population proportion, and $n$ is the sample size. Here, $\hat{p} = 0.36$, $p = 0.41$, and $n = 100$. Plugging these values into the formula gives $z = \frac{0.36 - 0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}} = -1.02$.

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