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 test statistic $z = 2.04$ corresponds to a two-tailed test. The $P$-value is found by looking at the standard normal distribution table, which gives the probability of $z$ being greater than 2.04. This probability is approximately 0.0207 for one tail, so for two tails, it is $2 \times 0.0207 = 0.0414$.

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

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