We want to calculate a chi-square statistic and compare it with the critical value
to determine whether or not GPA is significantly related to another of the factors
being studied (so as not to completely discount the survey data). They chose to
examine the relationship between the GPA of students and the teacher they had. They need
to determine whether or not teacher choice impacts a student's GPA.
1. Utilize the data provided to determine with 95% confidence whether or not the choice of
teacher affects a student's GPA.
2. Write up the null hypothesis statement. "Hypothesis statement?"
3. Calculate the chi-square statistic and compare that with the critical value for chi-square at a 95% confidence.
4. Write up your hypothesis conclusion.
# of Students w/ Given GPA
Teacher 2.01 - 2.50 2.51 - 3.00 3.01 - 3.50 3.51 - 4.00
A 68 74 73 78 = 293
B 70 73 75 77 = 295
C 69 75 72 76 = 292
Total 207 222 220 231
The solution provides step by step method for the calculation of test statistic for chi square test. Formula for the calculation and Interpretations of the results are also included.