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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 43
31%

The chance of getting a 3 on a fair spinner is 14\displaystyle \frac{1}{4}41​. The spinner is spun 12 times.

ai.

Find the probability that the spinner lands on 3 exactly 2 times.

[1]
aii.

Find the probability that the spinner lands on 3 more than 4 times.

[2]
b.

Alex believes that the spinner is not fair and the chance of the spinner landing on 3 is greater than 14\displaystyle \frac{1}{4}41​. To test this claim she spins the spinner 40 times and the spinner lands on 3 15 times. Stating your hypotheses clearly, test Alex's claim at the 5% significance level.

[4]
Markscheme

2.5 Statistical Hypothesis Testing Questions

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

355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.

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