Q150 · Practice questionTechnology-activeComplex unfamiliar5 marks
QUESTION 150 (5 marks)
A pilot survey of people gives . The same estimate is used to plan a final 99% confidence interval with margin of error at most . Using , determine the minimum final sample size. If the pilot responses may be included in the final sample, determine how many additional responses are required.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
Minimum final sample size ; an additional responses are required.
Worked solution
Require . This gives , so the final sample must contain at least responses. With pilot responses already available, a further are needed.
Uses the correct 99% margin-of-error condition.
Substitutes the pilot estimate.
Solves for the required sample size.
Rounds up to .
Determines the additional number of responses.
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