Suppose that a certain brand of calculators claims tohave a 7% defect rate.
a. If we select 6 calculators at random, what is the probabilitythat two or fewer of them are defective? Round your answer to threedecimal places.
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b. A researcher believes that the defect rate isactually higher than what the company claims. She selects 500calculators and finds that 41 of them are defective. At asignificance level of 10%, does the researcher have evidence tosupport her claim? Perform the appropriate hypothesis test. Roundyour sample statistic to three decimal places.
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