Question

A hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60, what is the computed value of the test statistic? Round to two decimal places.

Answer 1

Answer:

3.60

Step-by-step explanation:

Data provided in the question:

level of significance = 0.05

Sample size , n = 25 observations

correlation coefficient, r = 0.60

Now,

The test statistic to compute whether the population correlation is zero is given using the formula :

t =$\frac{r\sqrt{n-2}}{\sqrt{1-r^2}}$

on substituting the respective values, we get

test statics , t = $\frac{0.60\times\sqrt{25-2}}{\sqrt{1-0.60^2}}$

or

t = 3.5968 ≈ 3.60