An advocacy group claims that Blacks/African-Americans are over-represented in the incarcerated population. In other words, they are claiming that there is a higher percentage of Blacks/African-Americans in the incarcerated population than in the general US population. A random sample of 150 US residents is sampled and 26 identify as Black/African-American. In another random sample of 40 US incarcerated individuals, 

identify as Black/AfricanAmerican. Is there enough evidence to support the group’s claim at the 1% level of significance?

A. State the claim mathematically. Is the claim the null or alternative hypothesis?

B. State your hypotheses.

C. Determine the test of significance (t-test or z-test) and justify your choice.

D. State the standardized test statistic.

E. State the p-value.

F. State the correct decision of the test.

G. Interpret the decision in the context of the claim.