A student organization surveyed both current students and recent graduates to obtain information on the quality of teaching at a particular university. An analysis of the responses provided the following teaching-ability rankings.

Professor Current Students Recent Graduates

1 4 6

2 6 5

3 8 8

4 3 1

5 1 2

6 2 3

7 5 7

8 10 9

9 7 4

10 9 10

*Do the rankings given by the current students agree with the rankings given by the recent graduates? _____________

*Compute the rank correlation between current students and recent graduates. (Round your answer to three decimal places.)

r_s = ______________

Use = 0.10 and test for a significant rank correlation.

State the null and alternative hypotheses.

___H₀: _s > 0

H_a: _s = 0

____H₀: _s 0

H_a: _s = 0

_x___H₀: _s = 0

H_a: _s 0

*Find the value of the test statistic. (Round your answer to two decimal places.)

z=___________

Find the p-value. (Round your answer to four decimal places.)

p-value = _________