The local council claims that the average number of accidents per year on a particular road is $$$0.8$$$. Jane claims that the true average is greater than $$$0.8$$$. She looks at the records for a random sample of 3 recent years and finds that the total number of accidents during those 3 years was 5. Assume that the number of accidents per year follows a Poisson distribution. State null and alternative hypotheses for a test of Jane's claim. ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s21_qp_63 Year：2021 Question No：3(a)(i)

Answer:

$\mathrm{H}_{0}: \lambda=2.4$
$\mathrm{H}_{1}: \lambda>2.4$

6.5.2.1 direct evaluation of probabilities

6.5.2.2 a normal approximation to the binomial or the Poisson distribution, where appropriate