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fied couples who have two or more personality preferences in common. Let, proportion of all married couples who have no personality preferences in common. USE SALT (a) Find a 90% confidence interval for P₁ - P₂. (Use 3 decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negat negative numbers? What does this tell you (at the 90% confidence level) about the proportion of married couples with two or more personality prefere with the proportion of married couples sharing no personality preferences in common? We can not make any conclusions using this confidence interval

fied couples who have two or more personality preferences in common. Let, proportion of all married couples who have no personality preferences in common. USE SALT (a) Find a 90% confidence interval for P₁ - P₂. (Use 3 decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negat negative numbers? What does this tell you (at the 90% confidence level) about the proportion of married couples with two or more personality prefere with the proportion of married couples sharing no personality preferences in common? We can not make any conclusions using this confidence interval

College Algebra (MindTap Course List)
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 random sample of 388 married couples found that 284 had two or more personality preferences in common. In another random sample of 560 married couples, it was found that only 24 had no preferences in common. Let p₁ be the population proportion of all married couples who have two or more personality preferences in common. Let p₂ be the population proportion of all married couples who have no personality preferences in common. USE SALT (a) Find a 90% confidence interval for P₁ P₂. (Use 3 decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you (at the 90% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common? O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that a higher proportion of married couples have no personality preferences in common. O Because the interval contains both positive and negative numbers, we can not say that a higher proportion of married couples have two or more personality preferences in common. O Because the interval contains only positive numbers, we can say that a higher proportion of married couples have two or more personality preferences in common.
Transcribed Image Text:A random sample of 388 married couples found that 284 had two or more personality preferences in common. In another random sample of 560 married couples, it was found that only 24 had no preferences in common. Let p₁ be the population proportion of all married couples who have two or more personality preferences in common. Let p₂ be the population proportion of all married couples who have no personality preferences in common. USE SALT (a) Find a 90% confidence interval for P₁ P₂. (Use 3 decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you (at the 90% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common? O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that a higher proportion of married couples have no personality preferences in common. O Because the interval contains both positive and negative numbers, we can not say that a higher proportion of married couples have two or more personality preferences in common. O Because the interval contains only positive numbers, we can say that a higher proportion of married couples have two or more personality preferences in common.
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