Question

Data were collected on annual personal time​ (in hours) taken by a random sample of 16 women​ (group 1) and 7 men​ (group 2) employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family. The results of the test are tequals2.02 with an associated​ p-value of 0.0352. The correct conclusion at alphaequals0.05 is to​ _______.

Answer 1

We reject the null hypothesis

Explanation:

In statistical hypothesis testing, the p-value or probability value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

Since the p value is less than a, you would reject the null hypothesis and conclude that women take more personal time than men.