Correlation problems, statistics homework help

Correlations of parenting measures with child adjustment measures [for fathers in two-biological parent households (n = 79)]

Child Adjustment

Self-concept

Psych. Problems

GPA

Class room Behavior

Peer Popularity

Family Income

Family Income

.34***

-.08

.40***

.27**

.11

Father’s Parenting

Involvement

.41***

.02

.29**

.20×

.06

.29**

Parental Behavior

.57***

-.02

.30**

.14

.05

.32**

Parenting Together

.81×

-.36***

.24

.39***

-.05

.25***

× p < 0.1

* p < 0.05

** p < 0.01

*** p < 0.001

Questions

1. Which two variables have the strongest relationship between them?

2. The correlation between family income and GPA indicates that those who are lower on income tend to be:

    1. lower on GPA. B. higher on GPA.

3. Is the relationship between family income and involvement direct or inverse?

4. Is the relationship between parenting behavior and psychological problems direct or inverse?

5. Is the relationship between involvement and psychological problems statistically significant? Explain.

6. Should the null hypothesis for the relationship referred to in question 5 be rejected?

7. All the correlations with GPA are significant. Which one is significant at the highest level?

8. What is the probability that the value of .34 (the r in the upper-left corner of the table) is a random deviation from a true correlation of 0.00?

9. The value of r for the relationship between peer popularity and parental behavior is .05. Does this mean that the correlation coefficient is statistically significant at the .05 level? Explain.

10. The value “p < .001” in the footnote to the table indicates that the probability that the null hypothesis is true is less than one in

    1. 10
    2. 100
    3. 1,000

11. Write out in words, without using numerals, the meaning of “p < 0.1,” which appears in the footnote to the table.