Suppose the average size of a new house built in a certain county in 2014 was 2,273 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,190, with a sample standard deviation of 226 square feet. Complete parts a and b. a. Using a = 0.02, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since 2014? Determine the null and alternative hypotheses. Ho H H H (Type integers or decimals. Do not round.) Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. = B. -t = OC. ta/2 Calculate the appropriate test statistic. (Round to two decimal places as needed.) State the conclusion. Ho. There sufficient evidence to conclude that the average house size of a new home in the county has since 2014. b. Determine the precise p-value for this test using Excel. The p-value is (Round to three decimal places as needed.) decreased stayed the same changed increased Time Remaining: 02:29:03 Next