The data given below are final exam scores of 10 randomly chosen statistics student and number of hours they studied for exam.
|
Subject #
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
|
Hours, x
|
6
|
8
|
5
|
11
|
5
|
7
|
7
|
8
|
9
|
6
|
|
Scores, y
|
72
|
87
|
67
|
95
|
73
|
85
|
92
|
97
|
97
|
78
|
Using the r computed, test the significance of correlation coefficient using = 0.01 and the claim k = 0. Design the test using 7-steps hypothesis test.
1. H0 : k = 0
Ha : k
2. a = 0.01
3. Find out the test statistic t.
4. Find out the critical t0
5. Define rejection region.
6. Describe the statistical decision.
7. Application interpretation.
Note: Pearson Correlation coefficient = r = 0.8465