Question 189062

I did the chartand found the r, but I am still having trouble with the rest. 
x
4
5
5
6
4
7
3
8
4
Ex= 46 
y
62
69
76
83
74
91
59
94
73
Ey= 681 
xy
248
345
380
498
296
637
177
752
292
Exy=3625 
x2
16
25
25
36
16
49
9
64
16
Ex2=256 
y2
3844
4761
5776
6889
5476
8281
3481
8836
5329
Ey2=52,673 
r= -.0870
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Comment: Running a LinReg Test against the x/y values 
I get r = 0.9337
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Here is my question:
Using the r calculated, test the significance of the correlation coefficient using alpha = 0.01 and the claim k = 0. Design the test using the 7-steps hypothesis test. 
Answer:
1. Ho : k = 0
Ha : k is not 0
2. alpha = 0.01
3. Find the test statistic t.
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Comment:In your text (page 492) there are two methods for 
calculating the test statistic.
t = r*sqrt[(n-2)/(1-r^2)] = = 0.9337*sqrt[7/(1-(0.9337)^2] = 6.8993
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The 2nd method calculates a critical value for r(alpha) 

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4. Find the critical when alpha = 1% and df= 7 : to = 3.499

 
5. Define the rejection region.: reject Ho if test stat > 3.499
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6. State the statistical decision.: Since the 6.8993> 3.499, reject Ho
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7. Application interpretation. There is a correlation between the x and y
values.
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Once again I would like to thank you for helping me and using your own time . Thank you in advance. 
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Cheers,
Stan H.