When the necessary conditions are met, a two-tail test is being conducted to test the difference between two population proportions. The two sample proportions are p₁ = 0.25 and p₂ = 0.20 and the standard error of the sampling distribution of $p _ { 1 } - p _ { 2 }$ is 0.04. The calculated value of the test statistic will be: A) z = 0.25. B) z = 1.25. C) t = 0.25. D) t = 0.80.

Question

Quizplus · Accepted Answer

To calculate the test statistic for a two-tail test of difference between two population proportions, we use the formula:

z = (p1 - p2) / SE(p1 - p2)

where SE(p1 - p2) is the standard error of the sampling distribution of p1 - p2.

Here, p1 = 0.25, p2 = 0.20 and SE(p1 - p2) = 0.04.

Substituting these values in the formula, we get:

z = (0.25 - 0.20) / 0.04 = 1.25

Therefore, the calculated value of the test statistic is z = 1.25.

The correct answer is B.

When the Necessary Conditions Are Met, a Two-Tail Test Is p1−p2p _ { 1 } - p _ { 2 }p1​−p2​

When the Necessary Conditions Are Met, a Two-Tail Test Is $p _ { 1 } - p _ { 2 }$