Assume that you plan to use a significance level of $\alpha = 0.05$ to test the claim that $p _ { 1 } = p _ { 2 }$. Use the given sample sizes and numbers of successes to find the $P$-value for the hypothesis test.
$$\begin{array} { l l }
n _ { 1 } = 50 & n _ { 2 } = 75 \
x _ { 1 } = 20 & x _ { 2 } = 15
\end{array}$$
A) 0.0001
B) 0.1201
C) 0.0146
D) 0.0032

Question

Assume that you plan to use a significance level of $\alpha = 0.05$ to test the claim that $p _ { 1 } = p _ { 2 }$. Use the given sample sizes and numbers of successes to find the $P$-value for the hypothesis test.
$$\begin{array} { l l } 
n _ { 1 } = 50 & n _ { 2 } = 75 \
x _ { 1 } = 20 & x _ { 2 } = 15
\end{array}$$
A) 0.0001
B) 0.1201
C) 0.0146
D) 0.0032

Quizplus · Accepted Answer

The test statistic for comparing two proportions is calculated, and using the standard normal distribution, the P-value is found to be approximately 0.0146.

Assume That You Plan to Use a Significance Level Of \alpha