Question

Suppose that you have analyzed the relationship between population density and crime rate among 20 American capital cities, and obtain an r -+28. In order to test the significance of this association, we calculate the value of t. Which of the following figures comes closest to that value? A. 0.09B. 4.31C. 2.57D.1.24

Answer 1

T is equal 1.4. None of the previous values are correct.

Explanation:

t = r * sqrt ( (n-2)/(1- r^2))

= 0.28 * sqrt( 18/0.72)

= 1.4

T is simply the calculated difference represented in units of standard error. The greater the magnitude of T, the greater the evidence against the null hypothesis.