Using the correlation coefficient results from Problem 25, calculate the statistical significance of the relationship. Can the null hypothesis be rejected? In other words, does this relationship hold true for the population?

Data From From Problem 25

An education specialist is interested in how the number of words learned within the first two years of a child’s life affects the trajectory of academic performance later in high school. To test his idea, calculate Pearson’s correlation coefficient for the relationship between “words known at age 2” and “high school grade point average (GPA)” for a sample of six teenagers. What is the strength and direction of this relationship?

Transcribed Image Text:

Words Known at Age 2 High School GPA 3.52 3.14 3.96 2.82 2.34 3.67 20 14 18 8 7 17