In a recent court case it was found that during a period of 11 years 860 people were selected for grand jury duty and 37% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.3% 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. Question content area bottom Part 1 Which of the following is the hypothesis test to be conducted? A.Upper H 0 : p not equals 0.793 Upper H 1 : p equals 0.793 H0: p≠0.793 H1: p=0.793 B.Upper H 0 : p equals 0.793 Upper H 1 : p not equals 0.793 H0: p=0.793 H1: p≠0.793 C.Upper H 0 : p equals 0.793 Upper H 1 : p greater than 0.793 H0: p=0.793 H1: p>0.793 D.Upper H 0 : p equals 0.793 Upper H 1 : p less than 0.793 H0: p=0.793 H1: p<0.793 Your answer is correct. E.Upper H 0 : p greater than 0.793 Upper H 1 : p equals 0.793 H0: p>0.793 H1: p=0.793 F.Upper H 0 : p less than 0.793 Upper H 1 : p equals 0.793 H0: p<0.793 H1: p=0.793 Part 2 What is the test statistic? z=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Question content area bottom

Part 1

Which of the following is the hypothesis test to be conducted?

A.Upper H 0 : p not equals 0.793 Upper H 1 : p equals 0.793

H0: p≠0.793

H1: p=0.793

B.Upper H 0 : p equals 0.793 Upper H 1 : p not equals 0.793

H0: p=0.793

H1: p≠0.793

C.Upper H 0 : p equals 0.793 Upper H 1 : p greater than 0.793

H0: p=0.793

H1: p>0.793

D.Upper H 0 : p equals 0.793 Upper H 1 : p less than 0.793

H0: p=0.793

H1: p<0.793

Your answer is correct.

E.Upper H 0 : p greater than 0.793 Upper H 1 : p equals 0.793

H0: p>0.793

H1: p=0.793

F.Upper H 0 : p less than 0.793 Upper H 1 : p equals 0.793

H0: p<0.793

H1: p=0.793

Part 2

What is the test statistic?

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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