Complete all empty fields Sixty-four students in an introductory college economi

Question

Complete all empty fields

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 = .05, is the degree of certainty independent of credits earned? Very 12 2 Somewhat Certain 6 Very Certain Credits Earned Uncertain Row Total 10-59 60 or more 19 19 23 12 Col Total 19 20 61 (a) At = .05, the hypothesis for the given issue is Ho. 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 17.05 (c) Find the critical value of the chi-square for = .05. (Round your answer to 2 decimal places.) Critical value (d) We can reject the null hypotheses and find independence No Yes

Explanation / Answer

Ans:

b)Test statistic

Calculated chi square score=17.05

df=(3-1)*(3-1)=2*2=4

p-value=chidist(17.05,4)=0.0019

c)

critical chi square value=CHIINV(0.05,4)=9.49

d)

As,p-value=0.0019<0.05,we reject null hypothesis.

Yes

(There is suffcient evidence to conclude that both varables are not independent or are associated)

Observed(O) Very uncertain Somewhat Certain Very certain Row total 0-9 12 6 1 19 10-59 8 4 7 19 60 or more 2 9 12 23 Total= 22 19 20 61 Expected(E) Very uncertain Somewhat Certain Very certain Row total 0-9 6.852 5.918 6.230 19 10-59 6.852 5.918 6.230 19 60 or more 8.295 7.164 7.541 23 Total= 22 19 20 61 (O-E)^2/E Very uncertain Somewhat Certain Very certain 0-9 3.867 0.001 4.390 10-59 0.192 0.622 0.095 60 or more 4.777 0.471 2.637

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