Suppose that PTPTN would like to investigate if the repayment score and income level of an individual are independent of one another. PTPTN selected a random sample of 164 employed adults and asked them to report their repayment score and their income range. The repayment score is measured based on the overdue of student loan repayment in months and the following contingency table presents these results: a. Set up the competing hypotheses to determine if the repayment score and income level are dependent.   b. What is the degree of freedom for the test? c. Calculate the value of the test statistic (?2).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.4: Mathematics Of Finance
Problem 16E
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Suppose that PTPTN would like to investigate if the repayment score and income level of an individual are independent of one another. PTPTN selected a random sample of 164 employed adults and asked them to report their repayment score and their income range. The repayment score is measured based on the overdue of student loan repayment in months and the following contingency table presents these results:

a. Set up the competing hypotheses to determine if the repayment score and income level are dependent.  
b. What is the degree of freedom for the test?
c. Calculate the value of the test statistic (?2). 
d. Compute the p-value. 
e. Does the evidence suggest the repayment score and income level are dependent at the 1% significance level? 

Repayment Score
Average
(2-3 months)
Annual income
Poor
Good
range (RM)
Below RM40,000
RM40,000 to
RM80,000
Above RM 80,000
(over 3 months)
(below 2 months)
30
27
10
17
20
15
11
16
18
Transcribed Image Text:Repayment Score Average (2-3 months) Annual income Poor Good range (RM) Below RM40,000 RM40,000 to RM80,000 Above RM 80,000 (over 3 months) (below 2 months) 30 27 10 17 20 15 11 16 18
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