Question

When testing the claim that p 1p1equals=p 2p2​, a test statistic of zequals=2.04 is obtained. Find the ​p-value obtained from this test statistic.

Answer 1

0.0414 with an upper tailed test

Explanation:

Claim: P1P1 = P2P2

The above is a null hypothesis

The alternative hypothesis for a two-tailed test would be:

P1P1 \=/ P2P2

Where "\=/" represents "not equal to".

Using a z-table or z-calculator, we derive the p-value (probability value) for the z-score 2.04

With an upper tailed test, the

2 × [probability that z>2.04] = 2[0.0207] = 0.0414

This is the p-value for the test statistic.

Focus is on the alternative hypothesis.