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Mathematics (AS & A Level) · May / June 2018 · Paper 73 · Question 3

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A researcher wishes to estimate the proportion, p, of houses in London Road that have only one occupant. He takes a random sample of 64 houses in London Road and finds that 8 houses in the sample have only one occupant. Using this sample, he calculates that an approximate !% confidence interval for p has width 0.130. Find ! correct to the nearest integer. [5]

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