Question

On an international exam; students are asked to respond to a variety of background questions. For the 41 nations that participated in the exam; the correlation between the percentage of items answered in the background questionnaire (used as a proxy for student task persistence) and mean score on the exam was 0.883. Does this suggest there is a linear relation between student task persistence and achievement score

Answer 1

since r > 0.361

we reject H₀

Therefore, Yes, It does suggest that there is a linear relation between student task persistence and achievement score, since r [0.883 ] is greater than critical value for 30 [ 0.361 ]

Step-by-step explanation:

Given the data in the question;

n = 41

r = 0.883

H₀ : population correlation coefficient = 0 ( both are independent )

Hₐ : population correlation coefficient ≠ 0 ( there is a linear relation between student task persistence and achievement score )

critical value for n = 30 is 0.361

that means, for n = 41, critical value will be less than 362

now, since r > 0.361

we reject H₀

Therefore, Yes, It does suggest that there is a linear relation between student task persistence and achievement score, since r [0.883 ] is greater than critical value for 30 [ 0.361 ]