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**Scheme of work: Year 12 A-Level: Applied: Statistics: Hypothesis Testing**

- Use simple, discrete probability distributions, including the binomial distribution;
- Identify the discrete uniform distribution;
- Calculate probabilities using the binomial distribution.
- Calculate cumulative probabilities using the binomial distribution

- Set up a null and alternative hypothesis based on a binomial distribution
- Understand when to use a one- or two-tailed test.
- Understand the importance of the significance level in a statistical test.
- Test an observed value of a test statistic against the significance level.
- Find a critical region or a test.

- When setting up the null and alternative hypotheses, students often find it helpful to draw a diagram detailing the significance level, critical region and whether it is a one- or two-tailed test.

**One-Tailed Test 5% significance level**

**Two-Tailed Test 5% significance level**

- Test conclusions must be written based on the context specified in the question.
- When testing a hypothesis, students should test against the test statistic rather than finding the critical region, which often leads to errors in working.

- When summarizing a hypothesis test with the correct values, some students make an incorrect conclusion or do not conclude.
- When identifying the critical region students often use incorrect notation.
- Some students write their hypothesis in words rather than H
_{0}: p = 0.5 H_{1}: p > 0.5. - Students drop marks in exams through their notation; for instance, they write P(X < a) rather than P(X ≤ a)
- Some students try to find the critical region when testing a hypothesis. Unfortunately, this method requires more detailed work, often leading to errors.

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