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}} $

Question

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}} $

Quizplus · Accepted Answer

The formula given is the one-sample test statistic for proportions. The values provided in the question, such as significance level and sample size, suggest that this is a test for proportions rather than a t-test. Option A is the formula for a test of a single population mean, while option B does not include the term for the standard error of the sample proportion. Option D includes an incorrect calculation of the denominator. Therefore, the correct formula for the one-sample test statistic for proportions is given by option C.

Use the Data Given Below to Answer the Following Question(s) z=p^−π0π(1−π0)/n z=\frac{\hat{p}-\pi_{0}}{\pi\left(1-\pi_{0}\right) / n} z=π(1−π0​)/np^​−π0​​

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