Complete the following problem:
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.
Data:
# 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
Total 880
What is the expected value for teacher A at 2.01 - 2.50?
What is the expected value for teacher A at 2.51 - 3.00?
What is the expected value for teacher A at 3.01 - 3.50?
What is the expected value for teacher A at 3.51 - 4.00?
What is the expected value for teacher B at 2.01 - 2.50?
What is the expected value for teacher B at 2.51 - 3.00?
What is the expected value for teacher B at 3.01 - 3.50?
What is the expected value for teacher B at 3.51 - 4.00?
What is the expected value for teacher C at 2.01 - 2.50?
What is the expected value for teacher C at 2.51 - 3.00?
What is the expected value for teacher C at 3.01 - 3.50?
What is the expected value for teacher C at 3.51 - 4.00?
Probability of detecting Teacher A / 2.01 - 2.50:
Probability of detecting Teacher A / 2.51 - 3.00:
Probability of detecting Teacher A / 3.01 - 3.50:
Probability of detecting Teacher A / 3.51 - 4.00:
Probability of detecting Teacher B / 2.01 - 2.50:
Probability of detecting Teacher B / 2.51 - 3.00:
Probability of detecting Teacher B / 3.01 - 3.50:
Probability of detecting Teacher B / 3.51 - 4.00:
Probability of detecting Teacher C / 2.01 - 2.50:
Probability of detecting Teacher C / 2.51 - 3.00:
Probability of detecting Teacher C / 3.01 - 3.50:
Probability of detecting Teacher C / 3.51 - 4.00:
Chi Square statistic:
One tail or two?
Critical value:
Reject the null? (Y or N):