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?

Credits Earned	Very Uncertain	Somewhat Certain	Very Certain	Row Total
0 to 9	12	9	2	23
10 to 59	6	3	10	19
60 or more	2	6	13	21
Column Total	20	18	25	63

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(a)At= .05, the hypothesis for the given issue isH₀:Credits EarnedandCertainty of Majorare independent.

multiple choice 1

• Yes
• No

(b)Calculate the chi-square test statistic, degrees of freedom, and thep-value.(Round your test statisticvalue to 2 decimal places and thep-value to 4 decimal places.)

(c)Find the critical value of the chi-square for= .05.(Round your answer to 2 decimal places.)

(d)We can reject the null and conclude dependence. multiple choice 2

• Yes
• No