Assume that you plan to use a significance level of $\alpha = 0.05$ to 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.
$\begin{array} { l l }
n _ { 1 } = 50 & n _ { 2 } = 50 \
x _ { 1 } = 8 & x _ { 2 } = 7
\end{array}$
A) 0.7794
B) 0.3897
C) 0.6103
D) 0.2206

Question

Assume that you plan to use a significance level of $\alpha = 0.05$ to 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.
$\begin{array} { l l } 
n _ { 1 } = 50 & n _ { 2 } = 50 \
x _ { 1 } = 8 & x _ { 2 } = 7
\end{array}$
A)  0.7794 
B)  0.3897 
C)  0.6103 
D)  0.2206

Quizplus · Accepted Answer

The P-value is calculated based on the hypothesis test for comparing two proportions. Given the sample sizes and numbers of successes, the calculation involves finding the test statistic under the null hypothesis that $p_1 = p_2$ and then determining the probability of observing a test statistic as extreme as, or more extreme than, the one calculated. In this case, the P-value of 0.7794 suggests that there is a high probability of observing the given difference (or a more extreme difference) in sample proportions under the null hypothesis. This means there is not enough evidence to reject the null hypothesis at the $\alpha = 0.05$ level, indicating that the difference between the proportions could be due to random chance.

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