Two-tailed Pearson’s Correlation Assignment & Homework Solution

Application of a Two-tailed Pearson’s Correlation

You are a researcher interested in identifying if there are any correlations between intelligence and driving errors. Using the dataset “assignment 3 correlation," run a two-tailed Pearson's Correlation for the variables labeled "FSIQ" and "number of driving errors (DRIVERR)."

1. State the null hypothesis for this test:

2. What is the correlation coefficient for FSIQ and the number of driving errors?

3. What can you conclude from this data? Is there a significant correlation between driving errors and FSIQ?

Hypothesis Testing

Now, let's say you would like to test your hypothesis that there is a positive correlation between FSIQ and driving errors. Using the same dataset, run a one-tailed Pearson's correlation for the variables labeled “FSIQ” and “number of driving errors (DRIVERR).”

4. State the null hypothesis for this test:

5. What is the correlation coefficient for FSIQ and number of driving errors?

6. What can you conclude from this data? Is there a significant positive correlation between driving errors and FSIQ?

You are a researcher interested in identifying if there are any correlations between intelligence and driving errors. Using the dataset “assignment 3 correlation,” run a two tailed Pearson’s Correlation for the variables labeled “FSIQ” and “number of driving errors (DRIVERR).”
 State the null hypothesis for this test:
Ans: Ho: ρ=0
 What is the correlation coefficient for FSIQ and number of driving errors?
Ans: -0.109
 What can you conclude from this data? Is there a significant correlation between driving errors and FSIQ?
Ans: The p-value is 0.395, which is not significant. Thus, we can conclude that the correlation is not significant.
Now, let’s say you would like to test your hypothesis that there is a positive correlation between FSIQ and driving errors. Using the same dataset, run a one tailed Pearson’s correlation for the variables labeled “FSIQ” and “number of driving errors (DRIVERR).”
 State the null hypothesis for this test:
Ans: Ho: ρ=0
 What is the correlation coefficient for FSIQ and number of driving errors?
Ans: -0.109.
 What can you conclude from this data? Is there a significant positive correlation between driving errors and FSIQ?
Ans: The p-value is 0.803, which is not significant. Thus, we can conclude that there is no evidence to support the claim that correlation is positive.

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Application of a Two-tailed Pearson’s Correlation

Hypothesis Testing