Aresearcher computes r = 0.45 using a sample of 18 participants. is this pearson correlation coefficient significant for a two-tailed test at a .05 level of significance?

Answer with explanation:

Given : The computed r -value = 0.45

Sample size : n=18

Degree of freedom :

Now, the critical value for Pearson correlation coefficient  for a two-tailed test at a .05 level of significance will be :

  ( by critical correlation coefficient table)

Since , i.e. 0.45>0.468 , then we say that his Pearson correlation coefficient is not significant for a two-tailed test at a .05 level of significance.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a