An advocacy group claims that Blacks/African-Americans areover-represented in the incarcerated population. In other words,they are claiming that there is a higher percentage ofBlacks/African-Americans in the incarcerated population than in thegeneral US population. A random sample of 150 US residents issampled and 26 identify as Black/African-American. In anotherrandom sample of 40 US incarcerated individuals, 14 identify asBlack/AfricanAmerican. Is there enough evidence to support thegroup’s claim at the 1% level of significance?
A. State the claim mathematically. Is the claim the null oralternative hypothesis?
B. State your hypotheses.
C. Determine the test of significance (t-test or z-test) andjustify 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.
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