Homework SourseSixtyfour students in an introductory college economics clas
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? |
Solution
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 |
