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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 101

A spinner has the probability 14\displaystyle \frac{1}{4}41​ of landing on 3.

a.

The spinner is spun 12 times. Find the probability that it lands on 3 more than 4 times.

[2]
b.

Alex believes the spinner is unfair and that the probability of it landing on 3 is greater than 14\displaystyle \frac{1}{4}41​. She spins it 40 times, and it lands on 3 on 15 of those spins. Stating your hypotheses clearly, test Alex's belief at the 5% significance level.

[4]
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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