Question 181417: This is a practice worksheet no book. Sorry
CHI Square
Students in grades 4-6 were asked whether good grades, athletic ability, or popularity was important to them. A two way table separating the students by grade and choice or most important factor is shown below"
Grade
Goals 4 5 6 Total
____________________________
Grades 49 50 69 168
Popular 24 36 38 98
Sports 19 22 28 69
_____________________________
Total 92 108 135 335
a. State the null and alternate hypothesis.
Ho:________ H1:__________
b. State the decision rule.
____________________________________________________
c. Compute the value of the test statistic. For Chi Square first calculate the expected values.
Original Table
Grade
Goals 4 5 6 Total
______________________________
Grades 49 50 69 168
Popular 24 36 38 98
Sports 19 22 28 69
____________________________
Total 92 108 135 335
calculate the expected values.
? 2
2 (observed - expected)
X = ___________________ calculate
d. compute P value
e. What is your decision reguarding the null hypothesis?
expected
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
CHI Square
Students in grades 4-6 were asked whether good grades, athletic ability, or popularity was important to them. A two way table separating the students by grade and choice or most important factor is shown below"
Grade
Goals 4 5 6 Total
____________________________
Grades 49 50 69 168
Popular 24 36 38 98
Sports 19 22 28 69
_____________________________
Total 92 108 135 335
a. State the null and alternate hypothesis.
Ho:The row and column factors are independent
H1:The row and column factors are dependent
--------------------------------------------------
b. State the decision rule.
Reject Ho if test stat is > critical value or if P-value is < alpha
____________________________________________________
c. Compute the value of the test statistic.
For Chi Square first calculate the expected values.
Original Table
Grade
Goals 4 5 6 Total
______________________________
Grades 49 50 69 168
Popular 24 36 38 98
Sports 19 22 28 69
____________________________
Total 92 108 135 335
calculate the expected values.
---
Not sure what you are looking for here.
Running a Chi-square generates a 3x3 expected value matrix
where each matrix-element value is (row sum/total sum)*(column sum)
? 2
2 (observed - expected)
X = ___________________ calculate
---------------------------------------------
d. compute P value
p-value = 0.824 = 82.4%
-----------------------------
e. What is your decision reguarding the null hypothesis?
Since p-value is < alpha, Fail to reject Ho.
The row and column factors are independent.
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Cheers,
Stan H.
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