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In studying the relationship between income and time spent exercising, suppose you computed r=−0.052 using n=19data points. Using the critical values table below, determine if the value of r is significant or not.dfCV (+ and -)dfCV (+ and -)dfCV (+ and -)dfCV (+ and -)10.997110.555210.413400.30420.950120.532220.404500.27330.878130.514230.396600.25040.811140.497240.388700.23250.754150.482250.381800.21760.707160.468260.374900.20570.666170.456270.3671000.19580.632180.444280.361  90.602190.433290.355  100.576200.423300.349  Select the correct answer below: a. r is significant because it is between the positive and negative critical values. b. r is not significant because it is between the positive and negative critical values. c. r is significant because it is not between the positive and negative critical values. d. r is not significant because it is not between the positive and negative critical values.

Question
In studying the relationship between income and time spent exercising, suppose you computed r=−0.052 using n=19data points. Using the critical values table below, determine if the value of r is significant or not.
df CV (+ and -) df CV (+ and -) df CV (+ and -) df CV (+ and -)
1 0.997 11 0.555 21 0.413 40 0.304
2 0.950 12 0.532 22 0.404 50 0.273
3 0.878 13 0.514 23 0.396 60 0.250
4 0.811 14 0.497 24 0.388 70 0.232
5 0.754 15 0.482 25 0.381 80 0.217
6 0.707 16 0.468 26 0.374 90 0.205
7 0.666 17 0.456 27 0.367 100 0.195
8 0.632 18 0.444 28 0.361    
9 0.602 19 0.433 29 0.355    
10 0.576 20 0.423 30 0.349    

Select the correct answer below:

 
a. r is significant because it is between the positive and negative critical values.
 
b. r is not significant because it is between the positive and negative critical values.
 
c. r is significant because it is not between the positive and negative critical values.
 
d. r is not significant because it is not between the positive and negative critical values.
check_circleAnswer
Step 1

The provided value of correlation coefficient, r is -0.052 and the sample size, n is 19. So, the correlation coefficient is considered significant if the value of r is not lying in the range of critical value.

Step 2

The degrees of freedom, df = n-2, that is, 19-2 equals to 17. Therefore, the corresponding range of critical value from the provided table is (-0.456, +0.456). The provided value of r is lying between the ranges of cr...

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Statistics

Hypothesis Testing

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