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Mathematics (AS & A Level) · May / June 2024 · Paper 62 · Question 3

9709

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A student wishes to estimate the proportion, p, of students at her college who have exactly one brother. She surveys a random sample of 50 students at her college and finds that 18 of them have exactly one brother. She calculates an approximate % a confidence interval for p and finds that the lower limit of the confidence interval is 0.244 correct to 3 significant figures. Find a correct to the nearest integer. [4]

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