Question

A random sample of 364 married couples found that 280 had two or more personality preferences in common. In another random sample of 570 married couples, it was found that only 40 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. (a) Find a 99% 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 99% 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? We can not make any conclusions using this confidence interval. 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. 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. Because the interval contains only negative numbers, we can say that a higher proportion of married couples have no personality preferences in common.

Answer #1

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A random sample of 374 married couples found that 280 had two or
more personality preferences in common. In another random sample of
576 married couples, it was found that only 32 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.
(a) Find a 95% confidence interval for...

A random sample of 380 married couples found that 280 had two or
more personality preferences in common. In another random sample of
578 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
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(a) Find a 90% confidence interval for...

A random sample of 390 married couples found that 298 had two or
more personality preferences in common. In another random sample of
582 married couples, it was found that only 28 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
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(a) Find a 95% confidence interval for...

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572 married couples, it was found that only 40 had no preferences
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in common. Let p2 be the population proportion
of all married couples who have no personality preferences in
common.
(a) Find a 90% confidence interval for...

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common. Let p2 be the population proportion of
all married couples who have two personality preferences in
common.
(a) Find a 95% confidence interval...

A random sample of 380 married couples found that 280 had two or
more personality preferences in common. In another random sample of
578 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.
(a) Find a 90% confidence interval for...

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in common. A random sample of 384 married couples found that 136
had three preferences in common. Another random sample of 588
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Let p1 be the population proportion of all
married couples who have three personality preferences in common.
Let p2 be the population proportion of all
married couples who have two personality preferences in common.
(a) Find a 95% confidence...

Q1: A random sample of 390 married couples found that 290 had
two or more personality preferences in common. In another random
sample of 570 married couples, it was found that only 36 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.
(a) Find a 95% confidence interval...

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89.6 pounds with estimated sample standard deviation s2 = 6.9
pounds. Please show all steps in getting the answer. Thanks
(a) Categorize the problem below according to parameter being
estimated, proportion p, mean μ, difference...

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