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. State the null and alternative hypothesis  Compute the test statistic and the p-value.  Write your conclusion as if you are the expert witness in this case and explain what this p-value means to a jury.  What assumptions do we need in order for the conditions of the hypothesis test procedure to be met?

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.

  1. State the null and alternative hypothesis 
  2. Compute the test statistic and the p-value. 
  3. Write your conclusion as if you are the expert witness in this case and explain what this p-value means to a jury. 
  4. What assumptions do we need in order for the conditions of the hypothesis test procedure to be met?

 

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