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 150 men, and 40% own cats. You sample 190 women, and 45% own cats. Find (p-bar), as a decimal, rounded to two decimal places.

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 200 men, and 65% own cats. You sample 100 women, and 70% own cats. Find the test statistic, rounded to two decimal places.

You are testing the claim that the mean GPA of night students is greater than the mean GPA of day students. You sample 50 night students, and the sample mean GPA is 2.38 with a standard deviation of 0.85 You sample 60 day students, and the sample mean GPA is 2.06 with a standard deviation of 0.3 Calculate the test statistic, rounded to 3 decimal places