Answered: In a recent court case it was found…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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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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