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ID: 3312589 • Letter: D
Question
Directions: Answer all of the following questions. Make sure to show all work. Solutions with no work will receive no credit. Note the due date of the assignment on Moodle. Simply upload it to the assignment in module 4 folder – Question of the week 7. A pdf is the preferred format.
Question 1: Suppose you are given the following information about gpa by age. Perform a hypothesis test on whether age and gpa are independent from one another at =0.05.
GPA Age
30
>30
Totals
3.0
16
23
39
>3.0
24
37
61
Totals
40
60
100
Hypotheses:
Critical Value:
Test Statistics:
can i please have this answered not using excel
GPA Age
30
>30
Totals
3.0
16
23
39
>3.0
24
37
61
Totals
40
60
100
Explanation / Answer
null hypothesis: Ho: age and gpa are independent from one another
alternate hypothesis:Ha:age and gpa are not independent from one another
for degree of freedom =(row-1)*(column-1) =(2-1)*(2-1)= 1
for 1 degree of freedom and 0.05 level ; crtiical value =3.8415
applying chi square test of independence:
as test statsitic =0.0280 ;is less then critical value ; we fail to reject null hypothesis that
age and gpa are independent from one another
Observed O <=30 >30 Total <=3 16 23 39 >3 24 37 61 Total 40 60 100 Expected E=rowtotal*column total/grand total <=30 >30 Total <=3 15.600 23.400 39 >3 24.400 36.600 61 Total 40 60 100 chi square =(O-E)^2/E <=30 >30 Total <=3 0.0103 0.0068 0.017 >3 0.0066 0.0044 0.011 Total 0.017 0.011 0.0280Related Questions
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