Sarah believes there is a positive correlation between the amount of time spent practicing the piano and the score achieved in a music exam.
She calculates the product moment correlation coefficient between these two variables for a random sample of 20 students and obtains r=0.391r = 0.391r=0.391.
Carry out a suitable test to investigate Sarah's belief at a 5% level of significance.
State clearly
209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.