Question

If a researcher found a Person correlation of r = 0.52 between aggression and frequency of binge drinking in a sample of n = 28 undergraduate students. Therefore, he can conclude that __________.

• A. there is a significant positive relationship between these variables with both, p <.05 and p <.01

• B. there is no significant relationship between these variables with either, p <.05 and p <.01

• C. there is a significant positive relationship between these variables with p <.01 but not with p <.05.

• D. there is a significant positive relationship between these variables with p <.05 but not with p <.01.

Answer 1

Answer)

Null hypothesis Ho : p = 0.

Alternate hypothesis Ha : p not equal to 0.

Test statistics t = [r*√{N-2}]/[√{1 - r^2}

Here r = 0.52

N = 28.

After substitution,

Test statistics t = 3.104

Degrees of freedom is = n-1 = 27.

For 27 dof and 3.104 test statistics,

P-value from t distribution is = 0.0044

Since 0.0044 is less than both 0.01 and 0.05.

A. there is a significant positive relationship between these variables with both, p <.05 and p <.01