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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​

Respuesta :

JeanaShupp

Answer: C.  ±0.632.

Step-by-step explanation:

We have given,

Sample size : n= 10

Significance level : [tex]\alpha=0.05[/tex]

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.

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