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Chapter Problems 439 9.78 Jurors and gender A jury list contains the names of all in- dividuals who may be called for jury duty. The proportion of the available jurors on the list who are women is 0.53. If 40 people are selected to serve as candidates to serve on the jury, show all steps of a significance test of the hypoth- esis that the selections are random with respect to gender. Set up notation and hypotheses and specify assumptions. а. Five of the 40 selected were women. Find the test b. statistic. Report the P-value and interpret. c. Explain how to make a decision using a significance level of 0.01 d. Refer to the previous exercise. Type I and Type II errors .79 Explain what Type I and Type II errors mean in the context of that exercise. a. b. If you made an error with the decision in part d, is it a Type I or a Type II error?

Chapter Problems 439 9.78 Jurors and gender A jury list contains the names of all in- dividuals who may be called for jury duty. The proportion of the available jurors on the list who are women is 0.53. If 40 people are selected to serve as candidates to serve on the jury, show all steps of a significance test of the hypoth- esis that the selections are random with respect to gender. Set up notation and hypotheses and specify assumptions. а. Five of the 40 selected were women. Find the test b. statistic. Report the P-value and interpret. c. Explain how to make a decision using a significance level of 0.01 d. Refer to the previous exercise. Type I and Type II errors .79 Explain what Type I and Type II errors mean in the context of that exercise. a. b. If you made an error with the decision in part d, is it a Type I or a Type II error?

MATLAB: An Introduction with Applications
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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Chapter Problems 439 9.78 Jurors and gender A jury list contains the names of all in- dividuals who may be called for jury duty. The proportion of the available jurors on the list who are women is 0.53. If 40 people are selected to serve as candidates to serve on the jury, show all steps of a significance test of the hypoth- esis that the selections are random with respect to gender. Set up notation and hypotheses and specify assumptions. а. Five of the 40 selected were women. Find the test b. statistic. Report the P-value and interpret. c. Explain how to make a decision using a significance level of 0.01 d. Refer to the previous exercise. Type I and Type II errors .79 Explain what Type I and Type II errors mean in the context of that exercise. a. b. If you made an error with the decision in part d, is it a Type I or a Type II error?
Transcribed Image Text:Chapter Problems 439 9.78 Jurors and gender A jury list contains the names of all in- dividuals who may be called for jury duty. The proportion of the available jurors on the list who are women is 0.53. If 40 people are selected to serve as candidates to serve on the jury, show all steps of a significance test of the hypoth- esis that the selections are random with respect to gender. Set up notation and hypotheses and specify assumptions. а. Five of the 40 selected were women. Find the test b. statistic. Report the P-value and interpret. c. Explain how to make a decision using a significance level of 0.01 d. Refer to the previous exercise. Type I and Type II errors .79 Explain what Type I and Type II errors mean in the context of that exercise. a. b. If you made an error with the decision in part d, is it a Type I or a Type II error?
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