In a recent court case it was found that during a period of 11 years 898 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty. 78.7% 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, altermative 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<0.787 O B. Ho: p0.787 H:p=0.787 H:p=0.787 OC. Ho:p=0.787 H: p+0.787 VE. Ho:p=0.787 O D. Ho: p>0.787 H:p=0.787 OF Ho: p=0.787 H:p<0.787 H:p>0.787 What is the test statistic? (Round to two decimal places as needed.)

College Algebra (MindTap Course List)
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ISBN:9781305652231
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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, 898 people were selected for grand jury duty, and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78.7% 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?

- A. \( H_0: p < 0.787 \)
  \( H_1: p = 0.787 \)

- B. \( H_0: p \neq 0.787 \)
  \( H_1: p = 0.787 \)

- C. \( H_0: p = 0.787 \)
  \( H_1: p \neq 0.787 \)

- D. \( H_0: p > 0.787 \)
  \( H_1: p = 0.787 \)

- E. \( H_0: p = 0.787 \)
  \( H_1: p < 0.787 \) (Correct answer)

- F. \( H_0: p = 0.787 \)
  \( H_1: p > 0.787 \)

What is the test statistic?

\( z = \_\_ \)

(Round to two decimal places as needed.)
Transcribed Image Text:In a recent court case, it was found that during a period of 11 years, 898 people were selected for grand jury duty, and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78.7% 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? - A. \( H_0: p < 0.787 \) \( H_1: p = 0.787 \) - B. \( H_0: p \neq 0.787 \) \( H_1: p = 0.787 \) - C. \( H_0: p = 0.787 \) \( H_1: p \neq 0.787 \) - D. \( H_0: p > 0.787 \) \( H_1: p = 0.787 \) - E. \( H_0: p = 0.787 \) \( H_1: p < 0.787 \) (Correct answer) - F. \( H_0: p = 0.787 \) \( H_1: p > 0.787 \) What is the test statistic? \( z = \_\_ \) (Round to two decimal places as needed.)
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