A guidance counselor selected random samples of 25 ninth graders, 25 tenth graders, 25 eleventh graders, and 25 twelfth graders from her large high school. She asked each student whether they have a job. The results are displayed in the table. She decides to test these hypotheses: H0: There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Ha: There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. The conditions for inference are met. The chi-square test statistic is χ‑2 = 22.21. What conclusion should be made? Use α = 0.05. Find the chi-square table here. Because the P-value is less than α = 0.05, there is convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Because the P-value is less than α = 0.05, there is not convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Because the P-value is greater than α = 0.05, there is convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Because the P-value is greater than α = 0.05, there is not convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A guidance counselor selected random samples of 25 ninth graders, 25 tenth graders, 25 eleventh graders, and 25 twelfth graders from her large high school. She asked each student whether they have a job. The results are displayed in the table.

She decides to test these hypotheses:

H₀: There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.
H_a: There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.

The conditions for inference are met. The chi-square test statistic is χ^‑2 = 22.21. What conclusion should be made? Use α = 0.05.

Find the chi-square table here.

Because the P-value is less than α = 0.05, there is convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.

Because the P-value is less than α = 0.05, there is not convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.

Because the P-value is greater than α = 0.05, there is convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.

Because the P-value is greater than α = 0.05, there is not convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.

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