On an international exam, students are asked to respond to a variety of backgrou
ID: 3296423 • Letter: O
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 0.718. 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. Does this suggest there is a linear relation between student task persistence and achievement score? Choose the best response below A. No, since |0.716| is greater than the critical value for 30. B. No, since |0.716| is less than the critical value for 30. C. Yes, since |0.716| is less than the critical value for 30. D. Yes, since |0.716| is greater than the critical value for 30. What does this result mean? A. Countries in which students answered a greater percentage of items in the background questionnaire tended to have higher mean scores on the exam. B. Countries in which students cheated on the exam also cheated on the items in the background questionnaire. C. Countries in which students answered a lesser percentage of items in the background questionnaire tended to have higher mean scores on the exam. D. 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.Explanation / Answer
As the critical value of pearson correlation for n-1 = 29 degrees of freedom is around 0.5, therefore the given correlation 0.716 is greater than the critical value for 29 degrees of freedom, and therefore there is a linear relationship between student task persistence and the achievement score.
Therefore D is the correct answer here.
As the correlation is positive therefore the percentage of items answered in the background questionnaire and the mean score obtained, therefore A is the correct answer here.