Researchers want to know if reading skills can explain IQ test scores in children with dyslexia. The following scatterplot examines the relationship between reading skill score and IQ test score for 22 dyslexic children. The least-squares regression line is displayed on the plot, along with the value of r².
We want to test a hypothesis of no relationship between the two scores, H₀: p= 0 versus H_a: p≠0.
What is the P-value for this test?

Question

Researchers want to know if reading skills can explain IQ test scores in children with dyslexia. The following scatterplot examines the relationship between reading skill score and IQ test score for 22 dyslexic children. The least-squares regression line is displayed on the plot, along with the value of r².

We want to test a hypothesis of no relationship between the two scores, H₀: p= 0 versus H_a: p≠0.
What is the P-value for this test?

Quizplus · Accepted Answer

The P-value for this test is between 0.01 and 0.05 because the correlation coefficient (rS) has a value of 0.57, indicating a moderate positive correlation between reading skill score and IQ test score. The least-squares regression line on the scatterplot also suggests a positive relationship between the two variables. As a result, we can reject the null hypothesis of no relationship between the two variables with a P-value less than 0.05, but not less than 0.01. Therefore, the best choice is B.

Researchers Want to Know If Reading Skills Can Explain IQ