Null-hypothesis for a Pearson Product Moment Correlation

Conceptual Explanation

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

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

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.

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

As you may recall, a Pearson Product Moment Correlation or simply Pearson Correlation is a tool 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).

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

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

There is no statistically significant relationship between the [insert variable] and [insert variable].

Example 1

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

3.8

2

2.90

3.311.5

0 4.00

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between student ACT Scores and [insert variable].

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between student ACT Scores and [insert variable].

ProblemYou have been asked to determine the relationship between student ACT scores and their Grade Point Averages (GPAs).

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

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

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

Example 2

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between [insert variable] and [insert variable].

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between [insert variable] and [insert variable].

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between depression scores and [insert variable].

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between depression scores and [insert variable].

ProblemYou 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-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

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

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