Question

In a survey of 1000 randomly selected adults in the United States, participants were asked what their most favorite and what their least favorite subject was when they were in school (Associated Press, August 17, 2005). In what might seem like a contradiction, math was chosen more often than any other subject in both categories! Math was chosen by 240 of the 1000 as the favorite subject, and it was also chosen by 368 of the 1000 as the least favorite subject.

(a) Construct a 95% confidence interval for the proportion of
U.S. adults for whom math was the favorite subject in school. (Give
the answers to four decimal places.)

( , )

(b) Construct a 95% confidence interval for the proportion of U.S.
adults for whom math was the least favorite subject. (Give the
answers to four decimal places.)

Answer #1

In a survey of 1000 randomly selected adults in the United
States, participants were asked what their most favorite and what
their least favorite subject was when they were in school
(Associated Press, August 17, 2005). In what might seem like a
contradiction, math was chosen more often than any other subject in
both categories! Math was chosen by 226 of the 1000 as the favorite
subject, and it was also chosen by 380 of the 1000 as the least...

In a recent poll of 100 randomly selected adults in the United
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a) What is the sample proportion?
b) How are the conditions of the Central Limit Theorem met for
this scenario?
c) What is the margin of error for a 95% confidence interval?
Round to 3 places. The margin of error formula is
1.96p^(1−p^)n.
d) What is the 95% confidence interval? Round to 3
places.
e) Would...

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a) What is the sample proportion?
b) What is the margin of error for a 95% confidence interval?
(round to three places)
c) What is the 95% confidence interval for this scenario? (round to
three places)
d) Would you support 35% as possible population proportion of U.S.
adults who can name ten or more presidents? Why or why not?

A survey of 1000 randomly selected American adults found that
550 of them feel happy about their lives.
a. In this survey, the sample proportion of American adults who
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a. A 95% confidence interval for the true percent of all
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In a survey of 1000 US
adults, twenty percent say they never exercise. This is the highest
level seen in five years.
a) Verify that the
sample is large enough to use the normal distribution to find a
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exercise. (Are the conditions met?) Use a formula to justify your
answer or, if possible, explain your reasoning.
b) Construct a 90%
confidence interval for the proportion of U.S. adults who never...

In a poll of 150 randomly selected U.S. adults, 79 said they
favored a new proposition. Based on this poll, compute a 90%
confidence interval for the proportion of all U.S. adults in favor
of the proposition (at the time of the poll). Then complete the
table below. Carry your intermediate computations to at least three
decimal places. Round your answers to two decimal places. What is
the lower limit of the 90% confidence interval? What is the upper
limit...

In a poll,1000 adults in a region were asked about their online
vs. in-store clothes shopping. One finding was that 28% of
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confidence interval for the proportion of all adults in the region
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college students who have this belief. (Use a table or technology.
Round your answers to three decimal places.)
(...

In a survey of 1000 American adults age 60 and over, 420
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places.)

in a random poll taken in 2008, Gallup asked 1006 national
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a) Find the Zα/2
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