In the 2015 AFC championship game, there was a charge the New England Patriots underinflated their footballs for an advantage. The balls should be inflated to between 12.5 and 13.5 pounds per square inch. The accompanying data consists of eleven of the twenty-two measurements on the Patriots' footballs. Complete parts a and b. 10.95 11.50 10.50 11.85 10.70 11.10 10.90 12.30 10.85 11.15 11.45 a. Test the hypothesis that the population mean is less than 12.5 psi using a significance level of 0.05. State clearly whether the Patriots' footballs are underinflated or not. Assume the conditions for a hypothesis test are satisfied. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H = 12.5 O B. Ho: H 12.5 OF. Ho: H = 12.5 Ha: H # 12.5 Ha: Us 12.5 Ha : H > 12.5 The test statistic is. (Round to two decimal places as needed.) The p-value is. (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is the significance level, Ho- There is evidence to conclude that the population mean is less than 12.5 psi at a significance level of 0.05. Using only the given measurements, it appears that the Patriots' balls underinflated.Since the p-value is the significance level, Ho- There is V evidence to conclude that the population mean is less than 12.5 psi at a significance level of 0.05. Using only the given measurements, it appears that the Patriots' balls underinflated. b. Use the data to construct a 95% confidence interval for the mean psi for the Patriots' footballs. How does this confidence interval support your conclusion in part (a)? The 95% confidence interval is |psi to psi. (Round to two decimal places as needed. Use ascending order.) The confidence interval the conclusion in part (@) because the value 12.5 is the confidence interval