Use the Data Given Below to Answer the Following Question(s) $z=\frac{\hat{p}-\pi_{0}}{\pi\left(1-\pi_{0}\right) / n}$

Multiple Choice

Use the data given below to answer the following question(s) .
In a lower one-tailed hypothesis test, chosen level of significance = 0.10, sample size = 55, and t- test statistic = -1.76.
-Which of the following computes the test statistic for a one-sample test for proportions?

A) $z=\frac{\hat{p}-\pi_{0}}{\pi\left(1-\pi_{0}\right) / n}$

B) $z=\frac{\hat{p}-\pi_{0}}{\pi / n}$

C) $z=\frac{\hat{p}-\pi_{0}}{\sqrt{\pi\left(1-\pi_{0}\right) / n}}$

D) $z=\frac{\hat{p}-\pi_{0}}{\sqrt{\pi\left(1-\pi_{0}\right) ^{2} / n}}$