On an international exam students are asked to respond to a

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. 897. Does this suggest there is a linear relation between student task persistence and achievement score? Write a sentence that explains what this result might mean. Click the icon to view the critical values table, ritical Values for Correlation Coefficient Does this suggest there is a linear relation between student task persistence and achievement score? Choose the best response below. No, since 10. 8971 is greater than the critical value for 30. Yes, since |0. 897| is less than the critical value for 30. No, since 10. 8971 is less than the critical value for 30. Yes, since |0. 897| is greater than the critical value for 30. What does this result mean? There is no linear relation between countries in which students answered a greater percentage of items in the background questionnaire and higher mean scores on the exam. Countries in which students answered a lesser percentage of items in the background questionnaire tended to have higher mean scores on the exam. Countries in which students answered a greater percentage of items in the background questionnaire tended to have higher mean scores on the exam. Countries in which students cheated on the exam also cheated on the items in the background questionnaire.

Solution

Observed correlation = 0.897

Critical value for n=30 is 0.361

So,

Yes, there is a linear relation as 0.897 is greater than critical value for n=30 (0.361)

Answer: Option D.

As this correlation coefficient is positive, this linear relation signifies that:

Countries in which students answered a greater percentage of items in the background questionnaire tended to have higher mean scores on the exam.

Answer: Option C.