approve of the new parking arrangement. The principal cites this as evidence that the change was effective. Perform a test of the principal’s claim at the = 0.05 α significance level. Correct Answer State: = 0.37 versus > 0.37, where is the actual proportion of students who are satisfied with the H0: p Ha: p p parking situation. Plan: One-sample test for The sample was randomly selected. The expected z p. Random: Normal: number of successes = 74 and failures (1 = 126 are both at least 10. There were 200 in the np0 p0) Independent: − sample, and since there are 2500 students in the population, the sample is less than 10% of the population. Do: = z 1.32, = 0.0934. Conclude: Since our is greater than 0.05, we fail to reject the null hypothesis. We do P-value P-value not have enough evidence to conclude that the new parking arrangement increased student satisfaction with parking at this school. A drug manufacturer claims that less than 10% of patients who take its new drug for treating Alzheimer’s disease will experience nausea. To test this claim, researchers conduct an experiment. They give the new drug to a random sample of 300 out of 5000 Alzheimer’s patients whose families have
approve of the new parking arrangement. The principal cites this as evidence that the change was effective. Perform a test of the principal’s claim at the α = 0.05 significance level. Correct Answer State: H0: p = 0.37 versus Ha: p > 0.37, where p is the actual proportion of students who are satisfied with the parking situation. Plan: One-sample z test for p. Random: The sample was randomly selected. Normal: The expected number of successes np0 = 74 and failures (1 − p0) = 126 are both at least 10. Independent: There were 200 in the sample, and since there are 2500 students in the population, the sample is less than 10% of the population. Do: z = 1.32, P-value = 0.0934. Conclude: Since our P-value is greater than 0.05, we fail to reject the null hypothesis. We do not have enough evidence to conclude that the new parking arrangement increased student satisfaction with parking at this school. A drug manufacturer claims that less than 10% of patients who take its new drug for treating Alzheimer’s disease will experience nausea. To test this claim, researchers conduct an experiment. They give the new drug to a random sample of 300 out of 5000 Alzheimer’s patients whose families have
section_9.1_book_with_exercises.docx