Question

17) Suppose you will perform a test to determine whether there is sufficient evidence to support a

claim of a linear correlation between two variables. Find the critical value(s) of r given that
n = 10 and a = 0.05.
A) r= 10.666
B) r= +0.765
C) r= +0.632
D) r= 0.632​

Answer 1

Answer: C. ±0.632.

Explanation:

We have given,

Sample size : n= 10

Significance level :
`\alpha=0.05`

Test to check determine whether there is sufficient evidence to support a

claim of a linear correlation between two variables is a two tailed test.

Degree of freedom(df) = n- 2=8

Now , by the correlation coefficient(r) table ,

The critical r value corresponding to df = 8 and Significance level = 0.025 (0.05/2) is ±0.632.

Hence, the correct option is C. ±0.632.