Q145 · Practice questionTechnology-activeComplex unfamiliar5 marks
QUESTION 145 (5 marks)
A population proportion is . Determine the minimum sample size such that, using the normal approximation, .
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
.
Worked solution
For a central probability of at least , require . This gives , so the smallest integer sample size is .
Relates the required central probability to .
Uses the standard deviation of .
Forms the inequality for .
Solves the inequality correctly.
Rounds up to the minimum integer sample size.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabusHow many marks did you earn?
Compare your working with the guide above.