QuestionAssume 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. $$\begin{array}{l} n_{1}=100, n_{2}=100 \\ x_{1}=38, x_{2}=40 \end{array}$$ A. 0.2130 B. 0.0412 C. 0.7718 D. 0.1610

Studdy Solution
Find the p-value from the z-score. Since this is a two-tailed test, we calculate:
$p\text{-value} = 2 \times P(Z < -0.290)$
Using a standard normal distribution table or calculator, find $P(Z < -0.290) \approx 0.3859$.
$p\text{-value} = 2 \times 0.3859 = 0.7718$
The p-value is:
$$\boxed{0.7718}$$