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 α = .01, is the degree of certainty independent of credits earned?
Credits Earned |
Very Uncertain |
Somewhat Certain |
Very Certain |
Row Total |
0 – 9 | 11 | 10 | 3 | 24 |
10 – 59 | 10 | 5 | 9 | 24 |
60 or more | 2 | 9 | 11 | 22 |
(a) At α = .01, the hypothesis for the given issue is H0: Credits Earned and Certainty of Major are independent.
Yes | |
No |
(b) 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.)
Test statistic | |
d.f. | |
p-value | |
(c) Find the critical value of the chi-square for α = .01. (Round your answer to 2 decimal places.) Critical value |
Column 1 | Column 2 | Column 3 | Total | |
Row 1 | 11 | 10 | 3 | 24 |
Row 2 | 10 | 5 | 9 | 24 |
Row 3 | 2 | 9 | 11 | 22 |
Total | 23 | 24 | 23 | 70 |
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