Find a 90% (two-sided) confidence interval on the rollover rate of these vans. The rollover rate of sport utility vehicles is a transportation safety issue. Safety ad- vocates claim that manufacturer A's vehicle has a higher rollover rate than that of manufacturer B. One hundred crashes for each of these vehicles were examined. The 0.35 and PB 0.25. rollover rates were PA = = (a) Does manufacturer A's vehicle have a higher rollover rate than manufacturer B's? Use the P-value approach. (b) What is the power of this test, assuming a = 0.05? (c) Assume that the rollover rate of manufacturer A's vehicle is 0.15 higher than B's. Is the sample size sufficient for detecting this difference with probability level at least 0.90, if a = 0.053

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Find a 90% (two-sided) confidence interval on the rollover rate of these vans.
The rollover rate of sport utility vehicles is a transportation safety issue. Safety ad-
vocates claim that manufacturer A's vehicle has a higher rollover rate than that of
manufacturer B. One hundred crashes for each of these vehicles were examined. The
0.35 and PB
0.25.
rollover rates were PA
=
=
(a) Does manufacturer A's vehicle have a higher rollover rate than manufacturer B's?
Use the P-value approach.
(b) What is the power of this test, assuming a = 0.05?
(c) Assume that the rollover rate of manufacturer A's vehicle is 0.15 higher than B's.
Is the sample size sufficient for detecting this difference with probability level at
least 0.90, if a = 0.053
Transcribed Image Text:Find a 90% (two-sided) confidence interval on the rollover rate of these vans. The rollover rate of sport utility vehicles is a transportation safety issue. Safety ad- vocates claim that manufacturer A's vehicle has a higher rollover rate than that of manufacturer B. One hundred crashes for each of these vehicles were examined. The 0.35 and PB 0.25. rollover rates were PA = = (a) Does manufacturer A's vehicle have a higher rollover rate than manufacturer B's? Use the P-value approach. (b) What is the power of this test, assuming a = 0.05? (c) Assume that the rollover rate of manufacturer A's vehicle is 0.15 higher than B's. Is the sample size sufficient for detecting this difference with probability level at least 0.90, if a = 0.053
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