A supplier of Apple Air pods sent a shipment of 10,000 trousers to a retail store
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A supplier of Apple Air pods sent a shipment of 10,000 trousers to a retail store

A supplier of Apple Air pods sent a shipment of 10,000 trousers to a retail store. The supplier’s contract with retailer says that shipments must have a defect rate less than .05The retail store looks at 200 sets of Air pods from the shipment and finds that there is some type of defect in 4 of them.


Assume the null hypothesis is H0: p = .05 and the alternative hypothesis is H1: p < .05.  Assume the statistic used to test the hypothesis is the sample proportion, and that the significance level chosen is .05.  If the true proportion is .03, what is the probability of failing to reject H0?


Hint
BusinessH0: p = .05 v/s H1: p < .05X = 4n = 200  p-hat = X/n = 0.020 = 4/200po = 0.05test statistic, z = (phat-p)/sqrt(p*(1-p)/n)z = -1.947critical value, -z(a) = -z(0.05) = -1.645...

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