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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 43

A subscription service states that 62% of its customers renew each year. Sam takes a random sample of 28 customers and wishes to test, at the 10% significance level with a probability of at most 0.05 in each tail, whether the renewal proportion differs from 62%.

a.

Find the critical region for Sam's test.

[4]
b.

Find the actual significance level of a test based on this critical region.

[1]
c.

In Sam's sample, 23 customers renew. State Sam's conclusion in context.

[1]
d.

State one reason why a random sample is needed.

[1]
Markscheme

2.5 Statistical Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /2.5 Statistical Hypothesis Testing

316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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