Suppose the average size of a new house built in a certain county in 2006 was 2,269 square feet. A random sample of 16 new homes built in this county was selected in 2010. The average square footage was 2,197, with a sample standard deviation of 225 square feet. a. Using a 0.10, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since 2006? b. Use technology to determine the p-value for this test a. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho -2,269 and H, >2,269 B. Ho: -2,269 and H: 2,269 OC. Ho p22,269 and H, <2,269 OD. Ho 2,269 and H, 2,269 Determine the critical value(s) The critical value(s) is (are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Si S T B More