A-LevelMathematicsProbability and statistics9709/61 · Oct/Nov 2023 · Q24 Marks
In a survey of 300 randomly chosen adults in Rickton, 134 said that they exercised regularly. This information was used to calculate an a% confidence interval for the proportion of adults in Rickton who exercise regularly. The upper bound of the confidence interval was found to be 0.487, correct to 3 significant figures. Find the value of a correct to the nearest integer.
- (a)Find the value of a correct to the nearest integer.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [M1] For expression of the correct form.
- [A1] Accept 1.404, or anything that rounds to 1.39 to 1.41.
- [M1] Attempt area above or below their 1.405 and convert to a confidence level.
- [A1] Allow α = 84%. cwo Note: final answer 0.84 scores A0.
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