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

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

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 the z-score is 2.04, we look up the area in the standard normal distribution table or use a calculator to find the area to the left of z=2.04, which is approximately 0.9793. The area to the right is 1 - 0.9793 = 0.0207. Since it's a two-tailed test, we double this area, resulting in a P-value of 0.0414.

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

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