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Suppose the average size of a new house built in a certain county in 2014 was 2,272 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2.195, with a sample standard deviation of 227 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: p V H1: p V (Type integers or decimals. Do not round.) Determine the appropriate critical value. Select the correct choice below and ll in the answer box within your choice. (Round to three decimal places as needed.) CA. to: 03. TM: 0 C. inn/2 = Calculate the appropriate test statistic. 1*: (Round to two decimal places as needed.) State the conclusion, il \"0- There V sufcient evidence to conclude that the average house size of a new home in the county has V since 2014. b. Determine the precise pvalue for this test using Excel. The p-value is . (Round to three decimal places as needed.) )Iick to select your answer(s)