In a recent court case it was found that during a period of 11 years 856 people were selected for grand jury duty and 38% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80.8% 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, alitemative hypothesis, test 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 Which of the following is the hypothesis test to be conducted? OA Ho:p-0.808 O B. Ho: p0.808 H:p=0.808 H p<0.808 OC. Ho p<0.8B08 H p0.808 OD. Ho: p-0.808 Hp>0.808 OE Ho: p>0.808 OF Ho:p-0.808 Hp-0.808 H: pr0.808 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? Pvalue -O (Round to four decimal places as needed.) What is the conclusion on the null hypothesis? O Reject the null hypothesis because the P-value is less than equal to the significance level, a O Fal to reject the null hypothesis because the P-value is less than or equal to the significance level, a O Reject the null hypothesis because the P-value is greater than the significance level, a

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a recent court case it was found that during a period of 11 years 856 people were selected for grand jury duty and 38% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80.8% 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, test 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.
Which of the following is the hypothesis test to be conducted?
OA. Ho p-0.808
O B. Ho: p#0.808
H: p<0.808
H:p=0.808
OC. Ho p<0.808
O D. Ho: p=0.808
H:p>0.808
H,: p 0.808
O E. Ho: p>0.808
H: p=0.808
OF. Ho p 0.808
H,:p#0.808
What is the test statistic?
(Round to two decimal places as needed.)
What is the P-value?
P-value =
(Round to four decimal places as needed.)
What is the conclusion on the null hypothesis?
O Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
O Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
O Reject the null hypothesis because the P-value is greater than the significance level, a.
Transcribed Image Text:In a recent court case it was found that during a period of 11 years 856 people were selected for grand jury duty and 38% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80.8% 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, test 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. Which of the following is the hypothesis test to be conducted? OA. Ho p-0.808 O B. Ho: p#0.808 H: p<0.808 H:p=0.808 OC. Ho p<0.808 O D. Ho: p=0.808 H:p>0.808 H,: p 0.808 O E. Ho: p>0.808 H: p=0.808 OF. Ho p 0.808 H,:p#0.808 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to four decimal places as needed.) What is the conclusion on the null hypothesis? O Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. O Reject the null hypothesis because the P-value is greater than the significance level, a.
In a recent court case it was found that during a period of 11 years 856 people were selected for grand jury duty and 38% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80.8% 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, test 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:p=0.808
H1: p#0.808
What is the test statistic?
(Round to two decimal places as needed.)
What is the P-value?
P-value =
(Round to four decimal places as needed.)
What is the conclusion on the null hypothesis?
Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
Reject the null hypothesis because the P-value is greater than the significance level, a.
Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
Does the jury selection system appear to be fair?
O A. There is not sufficient evidence to warrant rejection of the claim that the selection process is biased against
allowing this ethnicity to sit on the grand jury. The jury selection process appears to be fair.
O B. There is not sufficient evidence to support the claim that the selection process is biased against allowing this
ethnicity to sit on the grand jury. The jury selection process appears to be unfair.
OC. There is sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing O D. There is sufficient evidence to support the claim that the selection process is biased against allowing this
this ethnicity to sit on the grand jury. The jury selection process appears to be fair.
ethnicity to sit on the grand jury. The jury selection process appears to be unfair.
Transcribed Image Text:In a recent court case it was found that during a period of 11 years 856 people were selected for grand jury duty and 38% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80.8% 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, test 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:p=0.808 H1: p#0.808 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to four decimal places as needed.) What is the conclusion on the null hypothesis? Reject the null hypothesis because the P-value is less than or equal to the significance level, a. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. Reject the null hypothesis because the P-value is greater than the significance level, a. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. Does the jury selection system appear to be fair? O A. There is not sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be fair. O B. There is not sufficient evidence to support the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be unfair. OC. There is sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing O D. There is sufficient evidence to support the claim that the selection process is biased against allowing this this ethnicity to sit on the grand jury. The jury selection process appears to be fair. ethnicity to sit on the grand jury. The jury selection process appears to be unfair.
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