Use the data given below to answer the following question(s).
In a lower one-tailed hypothesis test, chosen level of significance = 0.10, true mean = 30, 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 = $\frac { \hat{p} - \pi _0 } { \pi ( 1 - \pi_ 0 ) / n }$

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 = $\frac{\hat{p}-\pi _0}{\sqrt{\pi(1-\pi_ 0)^{2} / n}}$

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, true mean = 30, 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 = $\frac { \hat{p} - \pi _0 } { \pi ( 1 - \pi_ 0 ) / n }$

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 = $\frac{\hat{p}-\pi _0}{\sqrt{\pi(1-\pi_ 0)^{2} / n}}$

Quizplus · Accepted Answer

The formula given in choice C is the correct formula for computing the test statistic for a one-sample test for proportions, where π is the hypothesized population proportion, n is the sample size, and p is the sample proportion. The other choices are for computing test statistics in different scenarios such as hypothesis testing for a population mean or a difference in means.

Use the Data Given Below to Answer the Following Question(s) p^−π0π(1−π0)/n\frac { \hat{p} - \pi _0 } { \pi ( 1 - \pi_ 0 ) / n }π(1−π0​)/np^​−π0​​

Use the Data Given Below to Answer the Following Question(s) $\frac { \hat{p} - \pi _0 } { \pi ( 1 - \pi_ 0 ) / n }$