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In a recent court case it was found that during a period of 11 years 880 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.3% 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, 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? O A. Ho: p<0.793 О в. Но: рао.793 H:p=0.793 H:p=0.793 Ос. Но: р30.793 H:p<0.793 O D. Ho: p=0.793 H:p=0.793 O E. Ho: p>0.793 H:p=0.793 OF. Ho: p=0.793 H: p>0.793 What is the test statistic? z= (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 greater than the significance level, a. 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 greater than 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.

In a recent court case it was found that during a period of 11 years 880 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.3% 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, 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? O A. Ho: p<0.793 О в. Но: рао.793 H:p=0.793 H:p=0.793 Ос. Но: р30.793 H:p<0.793 O D. Ho: p=0.793 H:p=0.793 O E. Ho: p>0.793 H:p=0.793 OF. Ho: p=0.793 H: p>0.793 What is the test statistic? z= (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 greater than the significance level, a. 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 greater than 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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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**Does the jury selection system appear to be fair?** - **A.** 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. - **B.** 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. - **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. - **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.
Transcribed Image Text:**Does the jury selection system appear to be fair?** - **A.** 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. - **B.** 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. - **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. - **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.
In a recent court case, it was found that during a period of 11 years, 880 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.3% 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, 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?** - \( \circ \) A. \( H_0: \, p < 0.793 \) \hspace{1.5em} \( H_1: \, p = 0.793 \) - \( \circ \) B. \( H_0: \, p \neq 0.793 \) \hspace{1.5em} \( H_1: \, p = 0.793 \) - \( \circ \) C. \( H_0: \, p = 0.793 \) \hspace{1.5em} \( H_1: \, p < 0.793 \) - \( \circ \) D. \( H_0: \, p = 0.793 \) \hspace{1.5em} \( H_1: \, p \neq 0.793 \) - \( \circ \) E. \( H_0: \, p > 0.793 \) \hspace{1.5em} \( H_1: \, p = 0.793 \) - \( \circ \) F. \( H_0: \, p = 0.793 \) \hspace{1.5em} \( H_1: \, p > 0.793 \) **What is the test statistic?** \( z = \underline{\qquad} \) (Round to two decimal places as needed.) **What is the P-value?** \( \text{P-value} = \underline{\qquad} \) (Round to four
Transcribed Image Text:In a recent court case, it was found that during a period of 11 years, 880 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.3% 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, 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?** - \( \circ \) A. \( H_0: \, p < 0.793 \) \hspace{1.5em} \( H_1: \, p = 0.793 \) - \( \circ \) B. \( H_0: \, p \neq 0.793 \) \hspace{1.5em} \( H_1: \, p = 0.793 \) - \( \circ \) C. \( H_0: \, p = 0.793 \) \hspace{1.5em} \( H_1: \, p < 0.793 \) - \( \circ \) D. \( H_0: \, p = 0.793 \) \hspace{1.5em} \( H_1: \, p \neq 0.793 \) - \( \circ \) E. \( H_0: \, p > 0.793 \) \hspace{1.5em} \( H_1: \, p = 0.793 \) - \( \circ \) F. \( H_0: \, p = 0.793 \) \hspace{1.5em} \( H_1: \, p > 0.793 \) **What is the test statistic?** \( z = \underline{\qquad} \) (Round to two decimal places as needed.) **What is the P-value?** \( \text{P-value} = \underline{\qquad} \) (Round to four
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