Math 240

tudents zy Section 8.2 - MAT 240: Applied St x *Course Hero X New Tab X learn.zybooks.com/zybook/SNHUMAT240Master1/chapter/8/section/2 oks My library > MAT 240: Applied Statistics home > 8.2: Hypothesis test for the difference between two population proportions zyBooks catalog CHALLENGE ACTIVITY 8.2.4: Hypothesis testing for two population proportions (two-tailed z-test). Jump to level 1 Two substance abuse clinics would like to compare retention rates for the programs offered by each to see whether the proportion of clients who stayed in after 90 days is different for the two clinics. A simple random sample of clients from each clinic is taken, recording whether the client was still in the program after 90 days. Clinic B has more clients and was able to collect a larger sample. The results of the sample are shown below. What are the population parameters? The proportion of all clients for each clinic that remained in the programs after 90 days v Clinic A Clinic B Successes 33 Successes 64 What is the level of significance? Ex: 0.12 Observations 50 Observations 85 p-hat_1 0.66 p-hat_2 0.752941 What is the null hypothesis Ho? Pick v Confidence Level 99% z-score 1,160 What is the alternative hypothesis Ha? Pick p-value 0.246 Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick evidence exists to support the claim that retention rates for the two clinics are different