Answered: In a recent court case it was found…

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

Section8.7: 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

895

people were selected for grand jury duty and

43%

of them were from the same ethnicity. Among the people eligible for grand jury duty,

78.4%

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?

H0: p≠0.784

H1: p=0.784

H0: p=0.784

H1: p≠0.784

H0: p>0.784

H1: p=0.784

H0: p=0.784

H1: p>0.784

H0: p<0.784

H1: p=0.784

H0: p=0.784

H1: p<0.784

Your answer is correct.

What is the test statistic?

(Round to two decimal places as needed.)

P-value=

Identify the conclusion

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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