When testing the claim that $p _ { 1 } = p _ { 2 }$ , a test statistic of $z = 2.04$ 2.04 is obtained. Find the P-value obtained from this test statistic.
A) 0.0414
B) 0.9586
C) 0.0207
D) 0.9793

Question

Quizplus · Accepted Answer

Since the null hypothesis is that $p _ { 1 } = p _ { 2 }$, the alternative hypothesis is that they are not equal, which is a two-tailed test. Using a standard normal table or calculator, the area to the right of $z = 2.04$ is $0.0207$. Since this is a two-tailed test, the P-value is twice this value: $P = 2 * 0.0207 = 0.0414$. Therefore, the correct answer is A.

When Testing the Claim That p1=p2p _ { 1 } = p _ { 2 }p1​=p2​

When Testing the Claim That $p _ { 1 } = p _ { 2 }$