A now weight loss program claims that participants will lose an average of more than 10 pounds after completing it. The accompanying data table shows the weights of eight individuals before and after the program. Complete parts (a) through (e] below. Click the leen to view the data tabia a. Perform a hypothesis best using a = 0.10 to determine if the average weight loss was more than 10 pounds for participants in the weight loss program, Let ju. be the population mean of matched-par differencen for the weight before the program meus the weight after the program State the full and allemative hypotheses. Choose the correct answer below. OA Hold # 10 OB. HOT $ 10 X Hit Ha =10 H, - 10 Weights OC. Not Be $ 10 OD. No Ki -10 HER - 10 Person Before OE Hy-Ha $ 10 227 MATH - 10 213. 195 207 103 186 173 205 194 199 180 241 232 189 192 Print Done0.10 progra Person Before After 227 203 213 195 207 193 186 173 205 194 198 180 241 232 189 192b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.05. The lest statistic is 1.06 , (Round to two decimal places as needed ) The critical valueis) inare) 1:90 (so a comma to soparate answers as needed. Round to two decimal places as needed.) interpret the results of the hypothesis test. Since the total slatete Is less than or equal to the critical valen(s). do not reject the null hypothesis: There is insufficient evidence that the mean score is lower after the weightloss program, G. Identify the p-value and interpret the result. p-valun = 0.101 (Round to three decimal places as needed.) Interpret the result. Since the p-value is greater than the significance level, do not reject the null hypothesis. There is Insuficient evidence that the moon score la lower w bor the weight loss program,d, Construct a 90% confidence interval to estimate the average weight loss for Individuals in the program. Interpret the results UCL = 18.69 LCL = 7.56 (Round to two decimal places as needed.) interpret the results. Because 10 is within or above the interval, there is not enough evidence that the average weight loss is more than 10 pounds for participants in the weight loss program. a. What assumptions noed to be made in order to perform this procedure? O A. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater C):B. The samples are independent. and the distribution of the matched-pair differences between the measurement for the population is approximately uniform if the number of matched pairs is loss then 30. O C. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is 30 or greater. Q D. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population in apprealmainly normal if the number of matched pairs is kass thin 30