Q195 · Practice questionTechnology-activeComplex unfamiliar5 marks
QUESTION 195 (5 marks)
A population has proportion . Determine the minimum sample size such that, using the normal approximation, .
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
.
Worked solution
For an upper-tail probability below , require . Solving gives , so the minimum integer sample size is .
Identifies the relevant standard-normal quantile.
Uses the standard deviation of .
Forms the inequality in .
Solves the inequality.
Rounds up to the minimum whole sample.
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