Question

A study is conducted to investigate long-term complication rates in patients treated with two different therapies. The sample data is given below. Long-term complications Yes No Therapy 1: 100, 926 Therapy 2: 105, 882 Let p1 be the population proportion of patients with long-term complications among those treated with therapy 1. Let p2 be the population proportion of patients with long-term complications among those treated with therapy 2. Can we conclude that the proportions of patients with long-term complications are different under these two therapies? Let’s conduct a hypothesis test using a significance level of 0.05.

a. Write down the null hypothesis.

b. Write down the alternative hypothesis.

c. What’s the point estimate of p1?

d. What’s the point estimate of p2?

e. What’s the pooled sample proportion?

f. Calculate the test statistic.

g. Find out the critical value.

h. What’s the decision whether to reject the null hypothesis?

Answer 1