Section 11-1 (Goodness-of-Fit) & 11-2 (Test of Independence)
For the following hypothesis test, 1) write the claim and opposite in symbolic form next to H0 and H1, 2) draw a Chi-square curve, find and show the critical value(s) and shade the critical region(s), 3) find the test statistic and it's p-value, and 4) write the final conclusion.
3. Where do "A" students sit in the classroom? There are still 151 students enrolled in my four Statistics classes this semester, 45 of which currently have an A. I recorded where the A students are sitting and here are the results: 16 of the A students sit in or near the front, 19 sit in the middle, and 10 sit in or near the back. Is there sufficient evidence to support the claim that "A" students are not evenly distributed throughout the classroom? Use a .05 significance level.
H0:
H1:
Critical Value:
Test Statistic:
P-value:
Conclusion:
For the following hypothesis test, 1) write the claim and opposite in symbolic form next to H0 and H1, 2) draw a Chi-square curve, find and show the critical value(s) and shade the critical region(s), 3) find the test statistic and it's p-value, and 4) write the final conclusion.
4. Does home field advantage play a larger role in one sport over another? Winning team data were collected for teams in different sports. Use a .10 significance level to test the claim that home/visitor wins are independent of the sport.
Observed Values | Basketball | Baseball | Hockey | Football
Home team wins | 127 | 53 | 50 | 57
Visiting team wins | 71 | 47 | 43 | 42
H0:
H1:
Critical Value:
Test Statistic:
P-value:
Conclusion:
