In a recent court case it was found that during a period of 11 years 868 people were selected for grand jury duty and 42% 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?What is the test statistic?What is the P-value?What is the conclusion on the null hypothesis? Does the jury selection system appear to be fair? Which of the following is the hypothesis test to be conducted?О А. Но ря0.808H p=0 808О В. Но р30.808H1: p<0.808ОС. Но р « 0.808O D. H, p>0808H p= 0.808H, p= 0.808O E. Ho p=0 808H1: p 0.808OF Ho p-0808H1 p> 0.808What 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?Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, aO Reject the null hypothesis because the P-value is greater than the significance level, a.O Fail to reject the null hypothesis because the P-value is greater than the significance level, a.O Reject the null hypothesis because the P-value is less than or equal to the pignificance level, a.Does the jury selection system appear to be fair?O A. There is sufficient evidence to support the claim thatthe selection process is biased against allowing thisethnicity to sit on the grand jury. The jury selectionprocess appears to be unfair.O B. There is not sufficient evidence to support the claimthat the selection process is biased against allowingthis ethnicity to sit on the grand jury. The jury selectionprocess appears to be unfair.O C. There is sufficient evidence to warrant rejection of theclaim that the selection process is biased againstallowing this ethnicity to sit on the grand jury. The juryselection process appears to be fair.O D. There is not sufficient evidence to warrant rejection ofthe claim that the selection process is biased againstallowing this ethnicity to sit on the grand jury. The juryselection process appears to be fair.

Given: Sample size, n=868 Expected proportion, p=0.42 Sample proportion, p1 = 0.808

Answered: In a recent court case it was found…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 27T

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In a recent court case it was found that during a period of 11 years 868 people were selected for grand jury duty and 42% 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?

What is the test statistic?

What is the P-value?

What is the conclusion on the null hypothesis?

Does the jury selection system appear to be fair?

Which of the following is the hypothesis test to be conducted?
О А. Но ря0.808
H p=0 808
О В. Но р30.808
H1: p<0.808
ОС. Но р « 0.808
O D. H, p>0808
H p= 0.808
H, p= 0.808
O E. Ho p=0 808
H1: p 0.808
OF Ho p-0808
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?
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.
O Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
O Reject the null hypothesis because the P-value is less than or equal to the pignificance level, a.
Does the jury selection system appear to be fair?
O A. There is 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.
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.
O C. There is 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 D. 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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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