Statistics Propration

Question

You are testing the claim that the proportion of men who own cats is smaller than the proportion of women who own cats.

You sample 100 men, and 80% own cats.

You sample 180 women, and 45% own cats.

Find the test statistic, rounded to two decimal places

Answer 1

n1 = 100 p1 = 0.8

n2 = 180 p2 = 0.45

pooled proportion (p) = (n1 * p1 + n2 * p2)/(n1 + n2)

Test statistic z = (p1-p2) - 0

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square root (p * (1-p) * (1/n1 + 1/n2))