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.
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 2SE: What is a sample space?
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