Question

5. The following data set is composed of incidence rates of Kaposi’s sarcoma in 20 different regions of Tanzania. Reported in cases/million/year.

6.1, 6.6, 6.4, 6.6, 6.6, 7.6, 8.4, 8.5, 6.2, 7.6, 8.0, 7.3, 8.4, 6.6, 5.2, 6.2, 6.5, 5.8, 6.0, 6.1

            Let μ be the true incident rate of Kaposi’s sarcoma in Tanzania is cases/million/year. If the true incident rate of Kaposi’s sarcoma in the United States is 6 cases/million/year based on a nationwide surveillance in 2014. Test whether the rate of Kaposi’s sarcoma in Tanzania is different from the United States at the 0.05 significance level.

1. Be sure to state the null and alternative hypothesis.
2. Carry out the appropriate hypothesis test by hand (you can also use SAS) and report the test statistic and the p-value and your conclusion in the context of the problem.
3. What assumptions do we need for the validity of this hypothesis test?

Answer 1