When the Necessary Conditions Are Met, a Two-Tail Test Is $\hat { p } _ { 1 }$

Short Answer

When the necessary conditions are met, a two-tail test is being conducted to test the difference between two population proportions. The two sample proportions are $\hat { p } _ { 1 }$ = 0.21 and $\hat { p } _ { 2 }$ = 0.15, and the standard error of the sampling distribution of are $\hat { p } _ { 1 }$ - $\hat { p } _ { 2 }$ is 0.018. The calculated value of the test statistic will be: $\begin{array}{|l|l|}\hline A&\text {t=-3.33 }\\\hline B&\text {z=3.33 }\\\hline C&\text {t=3.33 }\\\hline D&\text { None of these choices are correct.}\\\hline\end{array}$