Question

A hypothesis test is conducted to test whether or not the population correlation is zero. If the sample consists of 38 observations and the sample correlation coefficient is -0.86, what is the computed value of the test statistic? Round to two decimal places.

Question 16 options:

	1) -1.96
	2) -10.12
	3) 10.12
	4) 2.00

Answer 1

Solution :

Give that,

r = -0.86

n = 38

degrees of freedom = n - 2 = 38 - 2 = 36

Test statistic = t

=

TV (n − 2)/ \(1 – 12)

= -0.86 * ($\sqrt$36) / $\sqrt$ (1 - (-0.86)²)

= -10.12

Test statistic = -10.12

Option 2)