5. Achievement Tests II An educator studied the relationship between the Academic Performance Index (API), a measure of school achievement, and the percentage of students who are considered English Learners (EL). The following table shows the API for eight elementary schools along with the percentage of students at each school who are considered

“English Learners” (EL)

a. Calculate the coefficient of correlation r between API and EL.

b. Is there sufficient evidence to indicate that there is a correlation between these two variables? Test at the 5% level of significance.

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School 1 2 3 4 5 6 7 8 745 808 798 791 854 688 801 751 EL 71 18 24 50 17 71 11 57