Statistics Education

1. Null-hypothesis for a
Pearson Product Moment
Correlation
Conceptual Explanation

2. With hypothesis testing we are setting up a null-
hypothesis –

3. With hypothesis testing we are setting up a null-
hypothesis – the probability that there is no effect or
relationship –

4. With hypothesis testing we are setting up a null-
hypothesis – the probability that there is no effect or
relationship – and then we collect evidence that leads
us to either accept or reject that null hypothesis.

5. As you may recall, a Pearson Product Moment
Correlation or simply Pearson Correlation is a value
that makes it possible to statistically test the
relationship between two continuous variables.

6. As you may recall, a Pearson Product Moment
Correlation or simply Pearson Correlation is a value
that makes it possible to statistically test the
relationship between two continuous variables. By
continuous we mean a number that can take any value
between two points (e.g., weight between 150 to 250
pounds).

7. Here is a template for writing a null-hypothesis for a
Pearson Correlation:

8. Here is a template for writing a null-hypothesis for a
Pearson Correlation:
There is no statistically significant relationship between
the [insert independent variable] and [insert
dependent variable].

9. Example 1

10. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].

11. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].

12. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].

13. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].

14. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
[insert independent variable] and [insert dependent
variable].

15. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
[insert independent variable] and [insert dependent
variable].

16. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
student ACT Scores and [insert dependent variable].
s

17. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
student ACT Scores and [insert dependent variable].
s

18. Problem
You have been asked to determine the relationship
between student ACT scores and their Grade Point
Averages (GPAs).
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
student ACT Scores and Grade Point Averages.
s

19. Null-hypothesis for this Problem
There is no statistically significant relationship between
student ACT Scores and Grade Point Averages.

20. Example 2

21. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].

22. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].

23. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].

24. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].

25. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
[insert independent variable] and [insert dependent
variable].

26. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
[insert independent variable] and [insert dependent
variable].

27. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
depression scores and [insert dependent variable].
Adsfasdfasdfadsf ald;fjas;ldfjasd;lfj adlfja;ldfj

28. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
depression scores and [insert dependent variable].
Adsfasdfasdfadsf ald;fjas;ldfjasd;lfj adlfja;ldfj

29. Problem
You have been asked to determine if a relationship exists
between depression and sense of belonging using validated
measures for each.
Template for a Pearson Correlation Null-Hypothesis
There is no statistically significant relationship between the
[insert independent variable] and [insert dependent
variable].
Null-hypothesis for this Problem
There is no statistically significant relationship between
depression scores and sense of belonging scores.
Adsfasdfasdfadsf ald;fjas;ldfjasd;lfj adlfja;ldfj

30. Null-hypothesis for this Problem
There is no statistically significant relationship between
depression scores and sense of belonging scores.