5. Students at multiple grade schools were asked what their personal goal ( grad
ID: 3225398 • Letter: 5
Question
5. Students at multiple grade schools were asked what their personal goal ( grades, be good and bad at sports) was and what good grades and bad grades were. The data is in table ("Popular kids data file," 2013). Calculate the Chi-square test.
Table: Personal Goal and Importance of Grades
Goal
Grades Importance Rating
Row Total
Good
Bad
Grades
70
66
136
Sports
10
24
34
Column Total
80
90
170
GIVE TYPED ANSWER ONLY
Goal
Grades Importance Rating
Row Total
Good
Bad
Grades
70
66
136
Sports
10
24
34
Column Total
80
90
170
Explanation / Answer
X^2 = S [ (Oi – Ei)^2/Ei
Oi:
Good
Bad
Total
Grades
70
66
136
Sports
10
24
34
Total
80
90
170
(80*136)/170 = 64
(80*34)/170 = 16
(90*136)/170 = 72
(90*34)/170 = 18
Ei:
Good
Bad
Total
Grades
64
72
136
Sports
16
18
34
Total
80
90
170
(Oi – Ei)
Good
Bad
Grades
6
-6
Sports
-6
6
(Oi –Ei)^2
Good
Bad
Grades
36
36
Sports
36
36
(Oi –Ei)^2 / Ei
Good
Bad
Grades
0.5625
0.5
Sports
2.25
2
X^2 = S [ (Oi – Ei)^2/Ei
= 5.313
We add all the values now and we get 5.313
Answer: The value of the chi-square test is 5.313
Good
Bad
Total
Grades
70
66
136
Sports
10
24
34
Total
80
90
170
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