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 7steps hypothesis test.
1. H_{0 }: k = 0
H_{a} : k
2. a = 0.01
3. Find out the test statistic t.
4. Find out the critical t_{0}
5. Define rejection region.
6. Describe the statistical decision.
7. Application interpretation.
Note: Pearson Correlation coefficient = r = 0.8465