Q144 · Practice questionTechnology-freeComplex familiar3 marks
QUESTION 144 (3 marks)
For samples of size , the sampling distribution of has standard deviation . Given that the population proportion satisfies , determine .
WORKED SOLUTION
3 marksPractice marking scheme
ANSWER
.
Worked solution
, so . Thus , giving or . The condition selects .
Forms the equation from the sampling-distribution standard deviation.
Solves the quadratic for the two possible proportions.
Uses the condition to choose .
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