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In: Statistics and Probability

Problem: A random sample of 200 kitchen blenders is tested and 10 are found to be...

Problem: A random sample of 200 kitchen blenders is tested and 10 are found to be defective.

(a) Construct a 86% confidence interval for the proportion p of defective blenders.

(b) Do the results contradict the manufacturer’s claim that less than 4% of the blenders are defective? Explain.

(c) Should the null hypothesis H0 : p = 0.06 be rejected at significance level 14% in a hypothesis test that uses the same data? Explain.

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