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2.5.7 Hypothesis test using Pearson's coefficient (A-level only)

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Question 6

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

  • your hypotheses
  • your critical value
[3]

2.5.7 Hypothesis test using Pearson's coefficient (A-level only) Questions

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