From the sample statistics, find the value of$\bar{ p}$ used to test the hypothesis that the population proportions are equal
-$$\begin{array} { l l }
n _ { 1 } = 44 & n _ { 2 } = 490 \
x _ { 1 } = 17 & x _ { 2 } = 191
\end{array}$$
A)0.467
B)0.156
C)0.390
D)0.312

Question

From the sample statistics, find the value of$\bar{ p}$ used to test the hypothesis that the population proportions are equal
-$$\begin{array} { l l } 
n _ { 1 } = 44 & n _ { 2 } = 490 \
x _ { 1 } = 17 & x _ { 2 } = 191
\end{array}$$
A)0.467
B)0.156
C)0.390
D)0.312

Quizplus · Accepted Answer

The pooled sample proportion $\bar{p}$ is calculated as $\bar{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{17 + 191}{44 + 490} = \frac{208}{534} \approx 0.390$.

From the Sample Statistics, Find the Value Of pˉ\bar{ p}pˉ​ Used to Test the Hypothesis That the Population Proportions Are

From the Sample Statistics, Find the Value Of $\bar{ p}$ Used to Test the Hypothesis That the Population Proportions Are