SOLUTION: 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 160 men, and 15% own cats. You sample 120 w

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Question 1129613: 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 160 men, and 15% own cats.
You sample 120 women, and 35% own cats.
Find the test statistic.
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

You sample 160 men, and 15% =0.15 own cats.
160%2A0.15=24
so, the proportion of men who own cats is 24%2F160->3%2F20
You sample 120 women, and 35% own cats.
120%2A0.35=42
so, the proportion of women who own cats is 42%2F120=>7%2F20
since 3%2F20%3C7%2F20+, it proves that the proportion of men who own cats is smaller than the proportion of women who own cats