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In: Statistics and Probability

A regulatory agency suspected that more than 10% of all cars of a certain automobile model...

  1. A regulatory agency suspected that more than 10% of all cars of a certain automobile model are unsafe. A random sample of 16 cars finds that 6 of these sampled cars are unsafe.

    1. (a) Test the appropriate hypotheses, keeping the significance level at no more than 0.05. Give your decision rule, test statistic value, p-value, and conclusion.

    2. (b) What is a 90% confidence interval for the true proportion of unsafe cars in the population?

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