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 a = .05, is the degree of certainty independent of credits earned? Credits Earned Very Uncertain Somewhat Certain 0 to 9 10 to 59 60 or more Column Total O Yes O No 12 8 2 22 Test statistic Degrees of freedom In-value 6 4 9 19 Very Certain 1 7 12 20 Click here for the Excel Data File (a) At a = .05, the hypothesis for the given issue is Hg: Credits Earned and Certainty of Major are independent. Row Total 19 19 23 61 (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.)

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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 a = .05, is the degree of certainty independent of credits earned?
Credits Earned Very Uncertain Somewhat Certain
0 to 9
10 to 59
60 or more
Column Total
O Yes
O No
Test statistic
Degrees of freedom
p-value
12
8
2
22
Critical value
6
4
9
19
Click here for the Excel Data File
(a) At a = .05, the hypothesis for the given issue is Hg: Credits Earned and Certainty of Major are independent.
O Yes
O No
Very Certain
1
7
(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.)
12
20
(d) We can reject the null and conclude dependence.
Row Total
19
19
23
61
(c) Find the critical value of the chi-square for a = .05. (Round your answer to 2 decimal places.)
Transcribed Image Text: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 a = .05, is the degree of certainty independent of credits earned? Credits Earned Very Uncertain Somewhat Certain 0 to 9 10 to 59 60 or more Column Total O Yes O No Test statistic Degrees of freedom p-value 12 8 2 22 Critical value 6 4 9 19 Click here for the Excel Data File (a) At a = .05, the hypothesis for the given issue is Hg: Credits Earned and Certainty of Major are independent. O Yes O No Very Certain 1 7 (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.) 12 20 (d) We can reject the null and conclude dependence. Row Total 19 19 23 61 (c) Find the critical value of the chi-square for a = .05. (Round your answer to 2 decimal places.)
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