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Sixty-four students in an introductory college economics class were asked how ma

ID: 3392828 • Letter: S

Question

Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. At = 0.05, is the degree of certainty independent of credits earned?

    

    

At = .05, the hypothesis for the given issue is H0: Credits Earned and Certainty of Major are independent.

Calculate the Chi-Square test statistic, degrees of freedom and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.)

Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. At = 0.05, is the degree of certainty independent of credits earned?

Explanation / Answer

Answer of part (a)

from the table we can have

chi-square test statistic is 8.3068

yes, At = .05, the hypothesis for the given issue is H0: Credits Earned and Certainty of Major are independent is true i.e. we accept null hypo thesis

Answer of part (b)

answer of part (c) is 9.488

critical value of the Chi-Square for = .05 is 9.488

answer of part (d) is NO

No, We cannot reject the null hypothesis and find No dependence.

o e e o-e (o-e)2 (o-e)2/e 13 24*26/67 9.313433 3.686567 13.59078 1.459266 6 24*19/67 6.80597 -0.80597 0.649588 0.095444 5 24*22/67 7.880597 -2.8806 8.297839 1.052945 9 19*26/67 7.373134 1.626866 2.646692 0.358964 4 19*19/67 5.38806 -1.38806 1.92671 0.357589 6 19*22/67 6.238806 -0.23881 0.057028 0.009141 4 24*26/67 9.313433 -5.31343 28.23257 3.031382 9 24*19/67 6.80597 2.19403 4.813767 0.707286 11 24*22/67 7.880597 3.119403 9.730675 1.234764 total= 8.306781
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