CAIE A-Level Mathematics A2 6.5.4 Hypothesis Tests Questions
Practise interpreting Type I and Type II errors and their probabilities in hypothesis tests.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- A2
Exam points
- define Type I and Type II errors in context
- determine the probability of a Type I error from the significance level
- explain when Type II errors are possible or impossible
CAIE A-Level Mathematics A2 6.5.4 Hypothesis Tests Questions question 1
[Maximum number: 1]
The numbers of green sweets in 200 randomly chosen packets of Frutos are summarised in the table.
| Number of green sweets | 0 | 1 | 2 | 3 | >3 |
|---|---|---|---|---|---|
| Number of packets | 32 | 50 | 97 | 21 | 0 |
It is given that Anji made a Type I error.
Explain how this shows that the significance level that Anji used in her test was not 1 %.
At the 1 % level H0 is not rejected Or a Type I error can only occur if H0 is rejected.
OE
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