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Calculate $\alpha$, giving your answer correct to $2$ significant figures.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
A random sample of $75$ students from a large college was used for a survey. $15$ of the students said that they owned a car. Using this information, an approximate $\alpha\%$ confidence interval for the proportion of all students at the college who own a car was found. The interval width was $0.162$.