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 pooled estimate $\bar { p }$ Round your answer to the nearest thousandth.
$\begin{array} { l l }
n _ { 1 } = 677 & n _ { 2 } = 3377 \
x _ { 1 } = 172 & x _ { 2 } = 654
\end{array}$
A) 0.163
B) 0.452
C) 0.204
D) 0.408

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 pooled estimate $\bar { p }$ Round your answer to the nearest thousandth.
$\begin{array} { l l } 
n _ { 1 } = 677 & n _ { 2 } = 3377 \
x _ { 1 } = 172 & x _ { 2 } = 654
\end{array}$
A)  0.163 
B)  0.452 
C)  0.204 
D)  0.408

Quizplus · Accepted Answer

The pooled estimate $\bar{p}$ is calculated using the formula $\bar{p} = \frac{x_1 + x_2}{n_1 + n_2}$, where $x_1$ and $x_2$ are the numbers of successes in each sample, and $n_1$ and $n_2$ are the sample sizes. Plugging in the given values, $\bar{p} = \frac{172 + 654}{677 + 3377} = \frac{826}{4054} \approx 0.204$.

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