Question

# Please show all work and state null and research hypotheses in complete sentences Correlation Hypothesis Testing...

Please show all work and state null and research hypotheses in complete sentences

Correlation Hypothesis Testing
Person       X (exercise- hr per week)         Y (stress level)
1                               5                                        4
2                               7                                        2
3                               6                                        0
4                               3                                        7
5                               6                                        5
6                               4                                        4
7                               4                                        6
=5                   (underline dash - on top of Y) Y=4

Q1: State your null and research hypotheses.
Q2: What are the cut-off points?
Q3: What is SSx?
Q4: What is SSy?
Q5: What is SP?
Q6: What is r?

1)

 null hypothesis: Ho:           ρ'= 0 Alternate Hypothesis: Ha: ρ≠ 0

2)

 0.05 level,two tail test and n-2= 5 df, critical r=± 0.754

3)

 S.No X Y (x-x̅)2 (y-y̅)2 (x-x̅)(y-y̅) 1 5 4 0.0000 0.00 0.0000 2 7 2 4.0000 4.00 -4.0000 3 6 0 1.0000 16.00 -4.0000 4 3 7 4.0000 9.00 -6.0000 5 6 5 1.0000 1.00 1.0000 6 4 4 1.0000 0.00 0.0000 7 4 6 1.0000 4.00 -2.0000 Total 35 28 12.0000 34.0000 -15.0000 Mean 5.000 4.00 SSX SSY SXY

SSx =12

4)

SSy =34

5)SP =-15

6)

 correlation r='Sxy/(√Sxx*Syy) = -0.743

7)

 since test statistic does not falls in rejection region we fail to reject null hypothesis
 we do not have have sufficient evidence to conclude that there is significant correlation between two variables