Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. 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) 0.408
B) 0.163
C) 0.204
D) 0.452

Question

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. 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) 0.408
B) 0.163
C) 0.204
D) 0.452

Quizplus · Accepted Answer

The pooled estimate is given by $$\hat p=\frac{(x_1+x_2)}{(n_1+n_2)}.$$Substituting the given values, we get $$\bar {p}=\frac{(172+654)}{(677+3377)}\approx{0.204}.$$Therefore, the answer is option C.

Assume That You Plan to Use a Significance Level of α