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5) A production manager is studying the effect of overtime on different shifts. On Shift I...

5) A production manager is studying the effect of overtime on different shifts. On Shift I at least half of the workers were on overtime. A random sample of 245 items from the Shift I assembly line showed that 24 had defects. Shift II has no overtime workers. A random sample of 258 items from the Shift II assembly line showed that 11 were defects.
a) Find the 90% confidence interval for the population proportion difference p1 – p2 of the defective items for Shift I verse Shift II.
b) Give an explanation of the meaning of your answer in the context of this problem.
c) What does the confidence interval for the difference tell you about the population proportion of defects for Shift I compared to Shift II?

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