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. Calculate a 95% Confidence interval for the true proportion of African-Americans called for grand jury. Use this 95% confidence interval and explain your conclusion as if you are the expert witness in this case and explain what the 95% confidence interval means to the jury. What assumptions do we need in order for the conditions of the 95% confidence interval to be met?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.