Sixty-four students in an introductory college economics class were asked how ma

Question

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 = .01, is the degree of certainty independent of credits earned?

(a) At = .01, the hypothesis for the given issue is H0: Credits Earned and Certainty of Major are independent.

(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.)

(c) Find the critical value of the chi-square for = .01. (Round your answer to 2 decimal places.)

Critical value            

(d) We can reject the null hypotheses and find independence.

  Credits Earned   Very
  Uncertain   Somewhat
  Certain Very
Certain Row Total   0 – 9 15          10           1            26            10 – 59 10          3           8            21            60 or more 3          8           13            24            Col Total 28          21           22            71         

Explanation / Answer

a) The correct answer is Yes.

b) The statistical software output for this problem is:

Contingency table results:
Rows: var7
Columns: None

Chi-Square test:

Hence,

Test statistic = 20.12

Df = 4

p - value = 0.0005

c) Critical value of chi square = 14.86

d) We reject the null hypothesis and find dependence.

Very Uncertain Somewhat Certain Very Certain Total 0-9 15 10 1 26 10-59 10 3 8 21 0 or More 3 8 13 24 Total 28 21 22 71

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.