In a recent court ease it was found that during a period of 11 years 856 people

Question

In a recent court ease it was found that during a period of 11 years 856 people were selected for grand jury duly and 36% of them were from the same ethnicity'. Among the people eligible for grand jury duty. 79.1% were of this ethnicity. Use a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify- the null hypothesis, alternative hypothesis, tot statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. H_1: p > 0.791 H_0: p = 0.791 H_1: p

Explanation / Answer

Hypothesis:        H0: Selection process is unbiased.

                                H1: Selection process is biased.

p=.791

P=.36,Q=.64

n=856

Test Statistic      

Z=(p-P)/(PQ/n)^(1/2)=26.27

P-value=0.00001

The result is significant since p<0.05,

reject null hypothesis,

i.e. selection process is biased.

We conclude, the original claim that the selection process is biased against allowing this ethnicity to sit on the grand jury is true.

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