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

Question

Quizplus · Accepted Answer

The P-value for a two-tailed test is found by doubling the area in the tail beyond the observed test statistic. Since $z = 2.04$ corresponds to a tail area of approximately $0.0207$ in standard normal distribution tables, doubling this gives $0.0414$, which is the P-value for the two-tailed test.

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

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