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A fabric manufacturer believes that the proportion of orders for raw material arriving late isp= 0.6....

A fabric manufacturer believes that the proportion of orders for raw material arriving late isp= 0.6. If a random sample of 10 orders shows that 4 or fewer arrived late, the hypothesis thatp= 0.6should be rejected in favor of the alternativep <0.6. (a)Find the probability of committing a type II error for the alternativesp= 0.5 (b)Find the probability of committing a type I error if the true proportion isp= 0.6.

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