Question 3 - A-Level Maths

Exam Board	CAIE
Module	S2 (Statistics 2)
Year	2007
Session	November
Topic	Hypothesis test of a normal distribution

Explain what is meant by the term 'random sample'. In a random sample of 350 food shops it was found that 130 of them had Special Offers.
Calculate an approximate \(95 \%\) confidence interval for the proportion of all food shops with Special Offers.
Estimate the size of a random sample required for an approximate \(95 \%\) confidence interval for this proportion to have a width of 0.04 .