Q45 · Practice questionTechnology-activeComplex unfamiliar4 marks
QUESTION 45 (4 marks)
A pilot study estimates a population proportion as . Determine the minimum sample size required so that an approximate 95% confidence interval has margin of error at most , using the pilot estimate in the calculation.
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
.
Worked solution
Require . Hence . The minimum integer is .
Uses the margin-of-error formula with .
Forms the inequality for .
Obtains .
Rounds up to the minimum sample size .
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