he following table is a summary of randomly chosen student evaluations of faculty at a university over a three-year period. The researcher is interested in whether the distribution of evaluations differs by faculty rank. Rank Evaluation Assistant Professor Associate Professor Professor Total Above Average 42 39 36 117 Below Average 38 31 54 123 Total 80 70 90 240 If faculty rank and evaluation are independent, how many assistant professors would have been expected to receive above average evaluations? What's the value of the test statistic? What's the critical value if the significance level is .05? What's the p-value (any value in your range if you used a table)? Do the data provide significant evidence at the .05 level that faculty rank and evaluation are dependent?
The following table is a summary of randomly chosen student evaluations of faculty at a university over a three-year period. The researcher is interested in whether the distribution of evaluations differs by faculty rank.
|
|
Rank |
|
||
|
Evaluation |
Assistant Professor |
Associate Professor |
Professor |
Total |
|
Above Average |
42 |
39 |
36 |
117 |
|
Below Average |
38 |
31 |
54 |
123 |
|
Total |
80 |
70 |
90 |
240 |
If faculty rank and evaluation are independent, how many assistant professors would have been expected to receive above average evaluations?
What's the value of the test statistic?
What's the critical value if the significance level is .05?
What's the p-value (any value in your
Do the data provide significant evidence at the .05 level that faculty rank and evaluation are dependent?
In analysis of variance, which of the following is true if the F statistic is zero?
Null Hypothesis:
H0: Faculty and evaluation are independent.
Alternative Hypothesis:
H1: Faculty and evaluation are not independent.
Observed values with marginal totals:
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