8. A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons' heights to obtain the data shown in the table below. Test the claim that sons are taller than their fathers at the = 0.10 level of significance. The normal probability plot and boxplot indicate that the differences are approximately normally distributed with no outliers so the use of a paired t-test is reasonable. Observation 1 2 3 4 5 6 Height of father (in inches) 65.9 66.9 74.1 66.3 Height of son (in inches) 68.7 66.4 76.2 66.2 67.4 66.8 70.7 68.6 What are the hypotheses for the t-test? Note that population 1 is fathers and population 2 is sons. OA. Ho: H =H2 Ha: H1 H2 O C. Ho: H = H2 Ha: H1 H2 Find the test statistic. t= (Round to three decimal places as needed.) B. Ho: H =H2 Ha: H H2 Find 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.) What is the correct conclusion for the hypothesis test? A. Reject Ho. There is sufficient evidence that sons are taller than their fathers. C. Do not reject Ho. There is not sufficient evidence that sons are taller than their fathers. B. Do not reject H. There is sufficient evidence that sons are taller than their fathers. D. Reject Ho. There is not sufficient evidence that sons are taller than their fathers. 7. The null hypothesis is H and the alternative hypothesis is as specified. The provided data are from a simple random paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis test at the 10% significance level. H: H>H 1 Click the icon to view the t-table. Observations from Pair Population 1 Population 2 1 15 11 10 9 781-27~2 17 18 24 59265728 2345678 Find the test statistic. Use population 1-population 2 as the difference. t= (Round to three decimal places as needed.) Find 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.) What is the correct conclusion for the hypothesis test? O A. Do not reject Ho. There is sufficient evidence that >- O C. Do not reject Ho. There is not sufficient evidence that OB. Reject Ho. There is not sufficient evidence that >- D. Reject Ho. There is sufficient evidence that >2.