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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 41

Under $H_0$ , $X∼B(20,0.5)X\sim B(20,0.5)$ . A two-tailed test observes $X = 4$ .

a.

Explain why the lower-tail probability is doubled for this symmetric null model.

[1]

b.

Calculate the exact two-tailed p-value.

[3]

c.

State the decision at the 5% level.

[2]

Markscheme

2.5 Statistical Hypothesis Testing Questions

A Level
Maths
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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