Question

A child psychologist hypothesizes that locus of control predicts motivation in pre-adolescent children. To investigate this, the psychologist has a sample of pre-adolescent participants fill out a questionnaire that measures locus of control and motivation. Below are the data. What can the psychologist conclude with α = 0.05? PLEASE ANSWER AS QUICKLY AS POSSIBLE

Locus	Motivation
15 16 15 14 11 12 18 13	21 23 15 14 22 13 21 14

a) What is the appropriate statistic?
---Select--- na Correlation Slope Chi-Square
Compute the statistic selected above:  

b) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
Critical value =  ; Test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
Effect size =  ;   ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

More locus of control significantly predicts more motivation.More locus of control significantly predicts less motivation.    Locus of control does not significantly predict motivation.

Answer 1

a) What is the appropriate statistic?
Correlation Slope
Compute the statistic selected above:  

b) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)

Critical value = 0.707
Test statistic = 0.364
Decision: Fail to reject H0

The coefficient of determination = r * r =0.364 * 0.364= 0.13249

This means only 13% of variation in y variable is explained by x variable.

  Locus of control does not significantly predict motivation.