A past survey of 1,068,000 students taking a standardized test revealed that 8.5% of the students were planning on studying engineering in college. In a recent survey of 1,476,000 students taking the SAT, 9.2% of the students were planning to study engineering. Construct a 95% confidence interval for the difference between proportions P1 - P2 by using the following inequality. Assume the samples are random and independent. P191 P292 P191 P292 +Z.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A past survey of 1,068,000 students taking a standardized test revealed that 8.5% of the students were planning on studying engineering in college. In a recent survey of
1,476,000 students taking the SAT, 9.2% of the students were planning to study engineering. Construct a 95% confidence interval for the difference between proportions
P1 - P2 by using the following inequality. Assume the samples are random and independent.
A A
P,4, P292
+Zc
P191
P292
<P, -P2< (P1 -P2)
P2
n2
n2
The confidence interval is
<P1 -P2<
(Round to three decimal places as needed.)
Transcribed Image Text:A past survey of 1,068,000 students taking a standardized test revealed that 8.5% of the students were planning on studying engineering in college. In a recent survey of 1,476,000 students taking the SAT, 9.2% of the students were planning to study engineering. Construct a 95% confidence interval for the difference between proportions P1 - P2 by using the following inequality. Assume the samples are random and independent. A A P,4, P292 +Zc P191 P292 <P, -P2< (P1 -P2) P2 n2 n2 The confidence interval is <P1 -P2< (Round to three decimal places as needed.)
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