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Census data for a certain county show that 19% of the adult residents are Hispanic. Suppose 72 people are called for jury duty and only 9 of them are Hispanic. Does this apparent under representation of Hispanics call into question the fairness of the jury selection system? a) Write the null hypothesis. b) Write the alternative hypothesis. c) Check the assumptions and conditions for inference. d) Find the z-score for this sample proportion. e) Give the P-value for this test. f) State your conclusion (in context, of course).

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Answered 1 year ago
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(a) Write the null hypothesis H0H_0 as the claim where the percentage of Hispanic people in the jury service is equal to 19%19\% or 0.190.19.

H0:p=0.19\boxed{H_0:p=0.19}

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