Photo AI

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 icon

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-AQA-A-Level Maths: Pure-Question 16-2020-Paper 3.png

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. ... show full transcript

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

96%

114 rated

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

99%

104 rated

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

96%

101 rated

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.

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

Other A-Level Maths: Pure topics to explore

1.1 Proof

Maths: Pure - AQA

1.2 Proof by Contradiction

Maths: Pure - AQA

2.1 Laws of Indices & Surds

Maths: Pure - AQA

2.2 Quadratics

Maths: Pure - AQA

2.3 Simultaneous Equations

Maths: Pure - AQA

2.4 Inequalities

Maths: Pure - AQA

2.5 Polynomials

Maths: Pure - AQA

2.6 Rational Expressions

Maths: Pure - AQA

2.7 Graphs of Functions

Maths: Pure - AQA

2.8 Functions

Maths: Pure - AQA

2.9 Transformations of Functions

Maths: Pure - AQA

2.10 Combinations of Transformations

Maths: Pure - AQA

2.11 Partial Fractions

Maths: Pure - AQA

2.12 Modelling with Functions

Maths: Pure - AQA

2.13 Further Modelling with Functions

Maths: Pure - AQA

3.1 Equation of a Straight Line

Maths: Pure - AQA

3.2 Circles

Maths: Pure - AQA

4.1 Binomial Expansion

Maths: Pure - AQA

4.2 General Binomial Expansion

Maths: Pure - AQA

4.3 Arithmetic Sequences & Series

Maths: Pure - AQA

4.4 Geometric Sequences & Series

Maths: Pure - AQA

4.5 Sequences & Series

Maths: Pure - AQA

4.6 Modelling with Sequences & Series

Maths: Pure - AQA

5.1 Basic Trigonometry

Maths: Pure - AQA

5.2 Trigonometric Functions

Maths: Pure - AQA

5.3 Trigonometric Equations

Maths: Pure - AQA

5.4 Radian Measure

Maths: Pure - AQA

5.5 Reciprocal & Inverse Trigonometric Functions

Maths: Pure - AQA

5.6 Compound & Double Angle Formulae

Maths: Pure - AQA

5.7 Further Trigonometric Equations

Maths: Pure - AQA

5.8 Trigonometric Proof

Maths: Pure - AQA

5.9 Modelling with Trigonometric Functions

Maths: Pure - AQA

6.1 Exponential & Logarithms

Maths: Pure - AQA

6.2 Laws of Logarithms

Maths: Pure - AQA

6.3 Modelling with Exponentials & Logarithms

Maths: Pure - AQA

7.1 Differentiation

Maths: Pure - AQA

7.2 Applications of Differentiation

Maths: Pure - AQA

7.3 Further Differentiation

Maths: Pure - AQA

7.4 Further Applications of Differentiation

Maths: Pure - AQA

7.5 Implicit Differentiation

Maths: Pure - AQA

8.1 Integration

Maths: Pure - AQA

8.2 Further Integration

Maths: Pure - AQA

8.3 Differential Equations

Maths: Pure - AQA

9.1 Parametric Equations

Maths: Pure - AQA

10.1 Solving Equations

Maths: Pure - AQA

10.2 Modelling involving Numerical Methods

Maths: Pure - AQA

11.1 Vectors in 2 Dimensions

Maths: Pure - AQA

11.2 Vectors in 3 Dimensions

Maths: Pure - AQA

;