### Find a confidence interval for the difference

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##### Reference no: EM137754

1. I want to know which of two manufacturing methods will be better. I create 10 prototypes using the first process, and 10 using the second. There were 3 defectives in the first batch and 5 in the second. Find a 95% confidence interval for the difference in the proportion of defectives.

A. (-0.62, 0.22)
B. (-0.56, 0.22)
C. (-0.493, 0.160)

2. I want to know which of two manufacturing methods will be better. I create 10 prototypes using the first process, and 10 using the second. There were 3 defectives in the first batch and 5 in the second. The 90% confidence interval for the difference in the two proportions is (-0.493, 0.159). What conclusion should I make about the two manufacturing processes?

A. The first method is better.
B. The second method is better.
C. Both methods are equivalent.

3. In a sample of 20 items, I found 6 defective. In constructing a confidence interval for the proportion of defectives, I should use

A. the plus four method.
B. the large sample interval.
C. neither of the two methods.

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