Theory Testing in AQA A-level Maths: Hypothesis Testing and Binomial Distribution, Exams of Trigonometry

A concise overview of hypothesis testing concepts within the context of aqa a-level maths. It covers key definitions like one-tailed and two-tailed tests, critical regions, null and alternative hypotheses, and test statistics. The document also includes examples related to the binomial distribution, illustrating how to apply these concepts in practical scenarios.

Typology: Exams

2024/2025

Available from 01/07/2025

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Theory Testing of AQA A-level Maths
1. What is a one tailed test? What are the conditions needed for a
one tailed test? - Answer: ✔✔Alternative hypothesis in the
form P<... or P>.... You know how the null hypothesis is wrong,
and what it is biased towards.
2. What is a two tailed test? What are the conditions needed for a
two tailed test? - Answer: ✔✔Alternative hypothesis in the
form P.... You don't know how the null hypothesis is wrong
3. What is the critical region? - Answer: ✔✔The region of the
probability distribution in which if your test statistic falls, you
would reject your null hypothesis
4. What is a hypothesis in the the binomial distribution? - Answer:
✔✔A statement made about the value of the probability p in
the binomial distribution X-B(n,p),
5. What is a test statistic? - Answer: ✔✔The result of the
experiment which can be used to reject or support the null
hypothesis
6. What would the test statistic of seeing if a coin was biased
towards heads by doing 8 tosses be? - Answer: ✔✔The test
statistic would be the number of heads in 8 tosses
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Theory Testing of AQA A-level Maths

  1. What is a one tailed test? What are the conditions needed for a one tailed test? - Answer: ✔✔Alternative hypothesis in the form P<... or P>.... You know how the null hypothesis is wrong, and what it is biased towards.
  2. What is a two tailed test? What are the conditions needed for a two tailed test? - Answer: ✔✔Alternative hypothesis in the form P≠.... You don't know how the null hypothesis is wrong
  3. What is the critical region? - Answer: ✔✔The region of the probability distribution in which if your test statistic falls, you would reject your null hypothesis
  4. What is a hypothesis in the the binomial distribution? - Answer: ✔✔A statement made about the value of the probability p in the binomial distribution X-B(n,p),
  5. What is a test statistic? - Answer: ✔✔The result of the experiment which can be used to reject or support the null hypothesis
  6. What would the test statistic of seeing if a coin was biased towards heads by doing 8 tosses be? - Answer: ✔✔The test statistic would be the number of heads in 8 tosses

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  1. What is the null hypothesis? - Answer: ✔✔The hypothesis you assume to be true about a population, until proven otherwise
  2. What is an alternative hypothesis? - Answer: ✔✔A hypothesis that tells you what would happen to your probability if your null hypothesis wasn't true
  3. What is the symbol for the null hypothesis? - Answer: ✔✔H
  4. What is the symbol for the alternative hypothesis? - Answer: ✔✔H
  5. What are the two types of alternative hypotheses? - Answer: ✔✔One tailed test or a two tailed test