An educational expert found that the correlation coefficient between the hours of revision and the scores achieved by 25 students in their A-level exams was 0.379 - AQA - A-Level Maths Pure - Question 16 - 2020 - Paper 3
Question 16
An educational expert found that the correlation coefficient between the hours of revision and the scores achieved by 25 students in their A-level exams was 0.379.
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Worked Solution & Example Answer:An educational expert found that the correlation coefficient between the hours of revision and the scores achieved by 25 students in their A-level exams was 0.379 - AQA - A-Level Maths Pure - Question 16 - 2020 - Paper 3
Step 1
State hypotheses
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Answer
The null hypothesis (
H_0
) states that there is no positive correlation between the hours of revision and the scores achieved, so
ho = 0
. The alternative hypothesis (
H_1
) asserts that there is a positive correlation, hence
ho > 0
.
Step 2
Compare correlation coefficient with critical value
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Answer
Given the correlation coefficient of 0.379, we compare it with the critical value of 0.4622. The correlation coefficient (0.379) is less than the critical value (0.4622), indicating that we do not have sufficient evidence to reject the null hypothesis.
Step 3
Conclude based on comparison
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Answer
Since the correlation coefficient is lower than the critical value, we conclude that there is insufficient evidence to suggest that there is a positive correlation between the hours of revision and the scores achieved by students in their A-level exams.
