The manufacture of textile assumes that the proportion of orders for late delivery of raw material is p = 0.7. If at most 4 arrived late for a random sample of 12, reject the hypothesis that p = 0.7 in favor of the alternative hypothesis that p < 0.7. Use the binomial distribution. Find the probability of committing a type II error for the alternative p = 0.6.      i. 0.0573      ii. 0.10      iii. 0.9427      iv. 0.4      v. None of the Above

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The manufacture of textile assumes that the proportion of orders for late delivery of raw material is p = 0.7. If at most 4 arrived late for a random sample of 12, reject the hypothesis that p = 0.7 in favor of the alternative hypothesis that p < 0.7. Use the binomial distribution.

Find the probability of committing a type II error for the alternative p = 0.6.
     i. 0.0573
     ii. 0.10
     iii. 0.9427
     iv. 0.4
     v. None of the Above

 
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