Concept explainers
Refer to Example 8.8. In this example, p1 and p2 were used to denote the proportions of refrigerators of brands A and B, respectively, that failed during the guarantee periods.
a At the approximate 98% confidence level, what is the largest “believable value” for the difference in the proportions of failures for refrigerators of brands A and B?
b At the approximate 98% confidence level, what is the smallest “believable value” for the difference in the proportions of failures for refrigerators of brands A and B?
c If p1 − p2 actually equals 0.2251, which brand has the larger proportion of failures during the warranty period? How much larger?
d If p1 − p2 actually equals −0.1451, which brand has the larger proportion of failures during the warranty period larger? How much larger?
e As observed in Example 8.8, zero is a believable value of the difference. Would you conclude that there is evidence of a difference in the proportions of failures (within the warranty period) for the two brands of refrigerators? Why?
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Chapter 8 Solutions
Mathematical Statistics with Applications
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