Mathematics 9709 · AS & A Level · Hypothesis testing

Hypothesis testing — practice question

From a random sample of $75$ students chosen at a large college, a survey showed that $15$ said they owned a car. Using this outcome, an approximate $\alpha\%$ confidence interval for the proportion of all students at the college who own a car was found. The width of the interval was $0.162$.
(main)[5]

Calculate $\alpha$, giving your answer to 2 significant figures.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses $p = 0.2$ (accept $\frac{15}{75}$)

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