Hw8: Chi-Square Test PracticeWe collect a sample of 100 people and observe the following:MajorHumanitiesSciencesBusinesstotalPublic2035560HighSchoolPrivate 10151540total3050100Test the hypothesis that school type and subsequent major are not independent20

Name: Hw8: Chi-Square Test PracticeWe collect a sample of 100 people and ob
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Description: Hw8: Chi-Square Test PracticeWe collect a sample of 100 people and observe the following:MajorHumanitiesSciencesBusinesstotalPublic2035560HighSchoolPrivate 10151540total3050100Test the hypothesis that school type and subsequent major are not indepen

Given information: Sample size n=100 The observed values are presented in the following table: Humanities Sciences Business Total Public 20 35 5 60 Private 10 15 15 40 Total 30 50 20 100The hypotheses can be defined as follows: H0: The school type and subsequent major are independent. H1: The school type and subsequent major are not independent. This corresponds to a chi-square test of independence. The observed frequencies Oij are: Humanities Sciences Business Total Public 20 35 5 60 Private 10 15 15 40 Total 30 50 20 100 The rule for calculating the expected frequency for any cell is then: row total × column totaltable total The expected frequencies Eij are: Humanities Sciences Business Total Public 18 30 12 60 Private 12 20 8 40 Total 30 50 20 100 The test statistic is calculated as follows: χ2=∑i, j=1nOij-Eij2Eij The table with squared distances is shown below: Humanities Sciences Business Public 0.22222 0.83333 4.08333 Private 0.33333 1.25 6.125 The chi-squared statistic is computed as follows: χ2=∑i, j=1nOij-Eij2Eij=0.22222+0.83333+4.08333+0.33333+1.25+6.125=12.8472 The degrees of freedom is calculated as follows: df=r-1×c-1=2-1×3-1=2 The critical value, at 0.05 significance level, is 5.991. Since the test statistic (12.8472) is greater than the critical value (5.991), therefore, there is sufficient evidence to reject the null hypothesis. Hence, it can be concluded that the school type and subsequent major are not independent.

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Hw8: Chi-Square Test Practice We collect a sample of 100 people and observe the following: Major Humanities Sciences Business total High Public 20 35 5 60 School Private 10 15 15 40 total 30 50 20 100 Test the hypothesis that school type and subsequent major are not independent

Hw8: Chi-Square Test Practice We collect a sample of 100 people and observe the following: Major Humanities Sciences Business total High Public 20 35 5 60 School Private 10 15 15 40 total 30 50 20 100 Test the hypothesis that school type and subsequent major are not independent

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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