State the conditions under which the Normal distribution can be used as an approximation to the Binomial distribution.
A marine biologist claims that the proportion of leatherback turtle hatchlings that successfully reach the ocean from their nests is 0.42. A local conservationist believes that a new beach-lighting initiative has improved this survival rate.
State suitable null and alternative hypotheses to test the conservationist's belief.
To investigate this claim, a random sample of 150 hatchlings is observed, and it is found that 75 of them successfully reached the ocean.
Using a suitable approximation, test at the 5% level of significance whether or not there is evidence to support the conservationist's belief.
Practise Edexcel A Level Maths Approximating a Binomial Distribution with exam-style questions for A Level Maths. 68 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
