People are considered obese when they are approximately 30 pounds over their healthy weight. Two random samples of adults were selected. The individuals in one of the samples lacked high school diplomas. The individuals in the other sample held college degrees. The number of people sampled and the obese individuals from each sample are shown in the accompanying table. Complete parts a and b below. Click the icon to view the obesity data. a. Perform a hypothesis test using a= 0.05 to determine if the proportion of obese individuals without high school diplomas differs from the proportion of obese individuals who have college degrees. (Note: subscript 1 denotes the population with no high school diplomas and subscript 2 denotes the population with college degrees.) What are the correct null and alternative hypotheses? O A. Ho: P1 - P2 50 O B. Ho: P1 - P2 *0 Hy : P 1 - P2 >0 H 1 : P1 - P2 = 0 O C. Ho: P1 - P2 = 0 OD. HO: P1 - P2 20 H1 : P1 - P2* 0 Hy : P1 - P2 0 What is the test statistic? Zp =(Round to two decimal places as needed.) What is/are the critical value(s)? Obesity and Education The critical value(s) is/are]. (Round to two decimal places as needed. Use a comma to separate answers as needed.) No High School Diploma College Degree Interpret the result. Choose the correct answer below. X1 = 66 X2 = 40 n1 = 206 n2 = 178 O A. Do not reject Ho. There is not enough evidence to support that the proportions of obese individuals differ. O B. Reject Ho. There is not enough evidence to support that the proportions of obese individuals differ. O C. Reject Ho. There is enough evidence to support that the proportions of obese individuals differ. Print Done O D. Do not reject Ho. There is enough evidence to support that the proportions of obese individuals differ. b. Determine the p-value and interpret the results. p-value = (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. O A. Reject Ho. There is enough evidence to support that the proportions of obese individuals differ. O B. Reject Ho. There is not enough evidence to support that the proportions of obese individuals differ. O C. Do not reject Ho. There is not enough evidence to support that the proportions of obese individuals differ. O D. Do not reject Ho. There is enough evidence to support that the proportions of obese individuals differ