2. A manufacturer of men's underwear claims that 85 percent of the products are of the "best" quality, 10 percent are "seconds", and only 5 percent are defective. To test this claim 500 garments selected at random are inspected; the inspection results in the respective frequencies of 440, 45 and 15. (a) Write down your null hypothesis and alternative hypothesis to test the manufacturer' claim. Let 1 = best quality, 2 = seconds, and 3 = defective. (b) Determine the critical region for this test (where you would reject the null hypothesis for a = 0.05. (c) Perform a test to determine if the manufacturer's claim was valid or not. What conclusion do you reach (does the claim appear valid or not)?

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2. A manufacturer of men's underwear claims that 85 percent of the products are of the "best"
quality, 10 percent are "seconds", and only 5 percent are defective. To test this claim,
500 garments selected at random are inspected; the inspection results in the respective
frequencies of 440, 45 and 15.
(a) Write down your null hypothesis and alternative hypothesis to test the manufacturer's
claim. Let 1 = best quality, 2 = seconds, and 3 = defective.
(b) Determine the critical region for this test (where you would reject the null hypothesis)
for a = 0.05.
(c) Perform a test to determine if the manufacturer's claim was valid or not. What
conclusion do you reach (does the claim appear valid or not)?
Transcribed Image Text:2. A manufacturer of men's underwear claims that 85 percent of the products are of the "best" quality, 10 percent are "seconds", and only 5 percent are defective. To test this claim, 500 garments selected at random are inspected; the inspection results in the respective frequencies of 440, 45 and 15. (a) Write down your null hypothesis and alternative hypothesis to test the manufacturer's claim. Let 1 = best quality, 2 = seconds, and 3 = defective. (b) Determine the critical region for this test (where you would reject the null hypothesis) for a = 0.05. (c) Perform a test to determine if the manufacturer's claim was valid or not. What conclusion do you reach (does the claim appear valid or not)?
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