Homework: Section 8.2 Homework Save Score: 0 of 1 pt 8 of 8 (6 complete) HW Scor
ID: 3370689 • Letter: H
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Homework: Section 8.2 Homework Save Score: 0 of 1 pt 8 of 8 (6 complete) HW Score: 44.42%, 3.55 of 8 pts 8.2.31-T Question Help In a recent court case it was found that during a period of 11 years 874 people were selected for grand jury duty and 38% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 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, test statistic, P-value, condlusion 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. Which of the following is the hypothesis test to be conducted? O A. Ho: p0.795 O D. Ho: p> 0.795 Hy: p 0.795 OF. Ho:p.0795 H1 : p#0795 H1:p 0.795 ?. ??:p#0.795 H1 : p-o795 ??: ?#0.795 Hy: p 0.795 ? ?.Explanation / Answer
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The claim always goes to alternate hypothesis.
Thus, we have H1: p<.795
The Null hypothesis is p = .795
So, option E is correct
Lets use the normal disitrubtion as approx of binomial dist.:
X = np =.38*874
Mean = np = .795*874
Stdev = sqrt(npq) = sqrt(874*.795*.205)
a. Test statistic = (X-Mean)/Stdev = (.38*874 -.795*874)/sqrt(874*.795*.205) = -30.39
b. The p-value is 0 , which is less than alpha = .05.
c. This means our null hypothesis stands rejected as p-value < alpha of .05
We conclude that the original claim is CORRECT
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