Question

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 - P220 HP1 - P20 C. Ho: P1 - D2 SO HEP - P2 > 0 B. Ho-P1 - P2 = 0 H4:21 - P250 OD. Hp: 01-P20 HY: P1 P2 = 0 What is the test statistic? z (Round to two decimal places as needed.) i Obesity and Education College Degree No High School Diploma X. = 71 ny 207 *2 = 42 My = 178 | Print Done ]

Answer 1

The statistic software output for this problem is:

Two sample proportion summary hypothesis test: P1 : proportion of successes for population 1 P2 : proportion of successes for population 2 P1 - P2 : Difference in proportions Ho : P1 - P2 = 0 HA: P1 - P2 = 0 Hypothesis test results: Difference Count1 Totali Count2 Total2 Sample Diff. Std. Err. Z-Stat P1-P2 71 207 42 178 0.10704011 0.04654769 2.2995795 P-value 0.0215

Z_p = 2.30