Question

select the correct answer. mike wants to find the confidence interval for a set of data. he knows the sample size and the sample proportion. which other piece of information does he need to determine the confidence interval?

a. the number of favorable responses

b. the critical value

c. the standard error of the mean

d. the standard deviation

Explanation:

Step1: Recall confidence - interval formula

The formula for the confidence interval for a proportion is $\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}$, where $\hat{p}$ is the sample proportion, $n$ is the sample size, and $z_{\alpha/2}$ is the critical value.

Step2: Analyze given and required information

Mike knows the sample size $n$ and the sample proportion $\hat{p}$. The remaining piece of information needed is the critical value $z_{\alpha/2}$.

Answer:

B. the critical value