A manufacturer claims to produce only 5% defective units. A bulk buyer of these units selects 100 and finds ten defective. a.    Using the chi - squared goodness-of-fit test, determine whether there is reason to doubt the manufacturer's claim. Use α = 0.05. b.    Compare the answer with part a, which is obtained by using the approximation method discussed in Chapter 9 to test the null hypothesis that the true proportion of defective items is 0.05.

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10.4. A manufacturer claims to produce only 5% defective units. A bulk buyer of these units selects 100 and finds ten defective.

a.    Using the chi - squared goodness-of-fit test, determine whether there is reason to doubt the manufacturer's claim. Use α = 0.05.

b.    Compare the answer with part a, which is obtained by using the approximation method discussed in Chapter 9 to test the null hypothesis that the true proportion of defective items is 0.05.

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