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Find the value for $\alpha$, correct to the nearest integer.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
From a survey of 300 randomly selected adults in Rickton, 134 reported that they exercised regularly. This was then used to form an $\alpha\%$ confidence interval for the proportion of Rickton adults who exercise regularly. The upper limit of the interval was $0.487$, accurate to 3 significant figures.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct standardising expression for the sample proportion, for example $\frac{134}{300}+z\sqrt{\frac{134}{300}\times\frac{166}{300}\div 300}=0.487$.” …
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