- (a) State the conditions under which the Poisson distribution may be used as an approximation to the binomial distribution.
A farmer supplies a bakery with eggs. The manager of the bakery claims that the proportion of eggs having a double yolk is 0.009 The farmer claims that the proportion of his eggs having a double yolk is more than 0.009
(b) State suitable hypotheses for testing these claims.
In a batch of 500 eggs the baker records 9 eggs with a double yolk.
(c) Using a suitable approximation, test at the \(5 \%\) level of significance whether or not this supports the farmer's claim.