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Answer:
Given:You sample 160 men, and 25% own cats
You sample 120 women, and 20% own cats.
To Find : Find the test statistic, rounded to two decimal places.
Solution:
You sample 160 men, and 25% own cats.
No. of men have cats =
=
So,
You sample 120 women, and 20% own cats.
No. of women have cats =
=
So,
We will use Comparing Two Proportions
Let and
be the probabilities of men having cat and women having cat receptively
Formula of test statistic :
Substitute the values
test statistic :
test statistic :
So, test statistic is 0.986