1. Foreachofthesetsofhypotheses, samplesizes,andteststatisticvalues, calculatetheappropriatep-value.(Itmayhelptodrawapictureforeachcase.)
2. H0:=0.6vs.Ha: 0.6,samplesizen=150,teststatisticz=0.83.
3. H0:=23vs.Ha:23,samplesizen=20,teststatistict=2.17.

1. Swain v. Alabama (1965)a lawsuit that argued that there was discrimination against African-Americans in grand jury selection. This case used a statistical argument based on the data that 181 African-Americans out of a random sample of 1075 were called to appear for possible duty. Using the information that Census data show that 24% of those eligible for jury service were African-America conduct the hypothesis test to test the claim of discrimination. Use a significance level of 0.025.
2. State the null and alternative hypothesis
3. Compute the test statistic and the p-value.
4. Write your conclusion as if you are the expert witness in this case and explain what this p-value means to a jury.
5. What assumptions do we need in order for the conditions of the hypothesis test procedure to be met?

1. For a sample of n = 20 women aged 18 to 29, responses to the question "How tall would you like to be?" are recorded along with actual heights. In the sample, the mean desired height is 66.7 inches, the mean actual height is 64.9 inches, and the sample mean difference (desired - actual) is 1.8 inches. The sample standard deviation of the differences is 2.1 inches. Researchers hypothesize that, on average, women desire to be taller than they actually are.
2. State the null and alternative hypotheses.
3. What assumptions do we need in order for the conditions of the hypothesis test procedure to be met since the sample size is 20?
4. Assuming necessary conditions are met, carry out the remaining steps of the hypothesis test (test statistic, p-value, decision, and conclusion in context).

1. Two researchers are testing the null hypothesis that a population proportion p is equal to 0.30, and the alternative hypothesis that 0.30. Both take samples of 100 observations. Researcher A finds a sample proportion of 0.29, and Researcher B finds a sample proportion of 0.34. For which researcher will the p-value of the test be smaller? Explain without actually doing any computations.

1. 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 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?