An article reports that cats sleep on the average of 16 hours a day.A cat owner believes the average number of hours cats sleep is different from that. Out of a random sample of 14 cats, the average number of hours spent sleeping is 14.32 hours with a standard deviation of 4.2 hours. Does the evidence support the cat owner's belief at the .01 level of significance? a. What would HA be for this problem? Ans 1a HA :____________ b. What do you call this kind of test? Ans 1b_________________________ c. State the rejection region for this test. Write the correct notation for the critical value. Ans 1c_______________________ 2. a. Set up and find the p-value for a test where: H : 150 A and zc 2.91 . Ans 2a______________________ b. Would you be able to reject H0 or would there not be enough evidence to doubt H0 at the .05 level of significance? Ans 2b__________________________________________