In: Statistics and Probability
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 = .02,
is the degree of certainty independent of credits earned?
Credits Earned | Very Uncertain |
Somewhat Certain |
Very Certain |
Row Total | ||||||||||||
0 – 9 | 15 | 9 | 3 | 27 | ||||||||||||
10 – 59 | 7 | 5 | 9 | 21 | ||||||||||||
60 or more | 1 | 8 | 14 | 23 | ||||||||||||
Col Total | 23 | 22 | 26 | 71 | ||||||||||||
(a) At α = .02, 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 = .02. (Round your answer to 2 decimal
places.)
Critical value