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.

Clinic A Clinic B

Successes 30 Successes 66

Observations 50 Observations 85

Proportion 0.6 Proportion 0.776

Confidence Level 95%

z-score 2.178

p-value 0.029

What is the level of significance? 0.05

The null hypothesis is H0:pA

The alternative hypothesis Ha:pA

Should H0 be rejected or does H0 fail to be rejected?

What conclusion can be drawn from the data?

Sufficient or Insufficient evidence exists to support the claim that retention rates for the two clinics are different.

Whatare the populationparameters? Pick The difference in the sample sizes The difference in the two sample means The proportion of all clients for each clinic that remained in the programs after 90 days The proportion of clients for each sample that remained in the programs after 90 days

Pick < = >

Pick < = >

Pick Reject H Fail to reject H

Pick Insufficient Sufficient