Solved: Performing a Chi-Square Independence Test In Exercises 1322, perform the

Chapter 10, Problem 21

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Performing a Chi-Square Independence Test In Exercises 1322, perform the indicated chi-square independence test by doing the following. (a) Identify the claim and state H0 and Ha. (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. (c) Find the chi-square test statistic. If convenient, use technology. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim.Borrowing and Education A financial aid officer is studying the relationshipbetween who borrows money for college in a family and the income of thefamily. As part of the study, 1611 families are randomly selected and theresulting data are organized as shown in the contingency table. At a = 0.01,can you conclude that who borrows money for college in a family is relatedto the income of the family? (Adapted from Sallie Mae, Inc.)Who borrowed moneyFamily income Student only Parent only Both No oneLess than $35,000 168 40 20 266$35,000 $100,000 255 85 46 386Greater than $100,000 62 38 17 228