# SOLUTION: Find the P-value for the indicated hypothesis test. A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% ar

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Find the P-value for the indicated hypothesis test. A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% ar      Log On

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 Question 444205: Find the P-value for the indicated hypothesis test. A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufacturer's claim.Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!Find the P-value for the indicated hypothesis test. A manufacturer claims that fewer than 6% of its fax machines are defective. This implies to have a left-tail test. -------------------------------------- In a random sample of 97 such fax machines, 5% are defective. Find the z-value of that sample proportion: z(0.05) = (0.05-0.06)/sqrt[0.05*0.95/97] = -0.4520 ------------------------ Find the P-value for a test of the manufacturer's claim. p-value = P(z < -0.4520) = tcdf(-100,-0.4520 when df = 96) = 0.3262 ============ I used a TI-84 to get the p-value ============ Cheers, Stan H.