Question

In 2002 General Social Survey asked, "what do you think is the ideal number of children for a family to have?" The 30 females who responded had a mean of 3.08 and a standard deviation of 1.91.

a) Are the conditions met by his data to calculate a 90% confidence interval for the population mean? Explain

b) Regardless of what your answer to part (a) is, compute a 90% interval for the population mean.

c) How many females should be sampled in order to get a 95% confidence interval with a margin of error .50

Answer #1

"What do you think is the ideal number of children for a family
to have?" A Gallup Poll asked this question of 1016 randomly chosen
adults. Almost half (49%) thought two children was ideal.† We are
supposing that the proportion of all adults who think that two
children is ideal is p = 0.49.
What is the probability that a sample proportion p̂ falls
between 0.46 and 0.52 (that is, within ±3 percentage points of the
true p) if the...

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from social media?
(b) Working at the 95% confidence level, how large a sample
would be necessary to estimate the population proportion with a
margin of error of ±0.02? Assume a planning value of p∗...

1) Mental health. The 2010 General Social Survey asked the
question: “For how many days during the past 30 days was your
mental health, which includes stress, depression, and problems with
emotions, not good?” Based on responses from 1,151 US residents,
the survey reported a 95% confidence interval of 3.40 to 4.24 days
in 2010.
(a) Interpret this interval in context of the data.
(b) What does “95% confident” mean? Explain in the context of
the application.
(c) Suppose the...

1. A Gallup poll asked 1200 randomly chosen
adults what they think the ideal number of children for a family
is. Of this sample, 53% stated that they thought 2 children is the
ideal number. Construct and interpret a 95% confidence interval for
the proportion of all US adults that think 2 children is the ideal
number.
2. There were 2430 Major League Baseball games
played in 2009, and the home team won the game in 53% of the games....

"What do you think is the ideal number of children for a family
to have?" A Gallup Poll asked this question of 1016 randomly chosen
adults. Almost half (49%) thought two children was ideal.† We are
supposing that the proportion of all adults who think that two
children is ideal is p = 0.49.
What is the probability that a sample proportion p̂ falls
between 0.46 and 0.52 (that is, within ±3 percentage points of the
true p) if the...

"What do you think is the ideal number of children for a family
to have?" A Gallup Poll asked this question of 1016 randomly chosen
adults. Almost half (49%) thought two children was ideal.† We are
supposing that the proportion of all adults who think that two
children is ideal is p = 0.49.
What is the probability that a sample proportion p̂ falls
between 0.46 and 0.52 (that is, within ±3 percentage points of the
true p) if the...

One thousand randomly selected adult Americans participated in a
survey. When asked "Do you think it is sometimes justified to lie
or do you think lying is never justified?" 53% responded that lying
was never justified. When asked about lying to avoid hurting
someone's feelings, 680 responded that this was often or sometimes
OK.
a. Construct a 90% confidence interval for the proportion of
adult Americans who think lying is never justified. (Use a table or
technology. Round your answers...

A survey asked, "How many tattoos do you currently have on
your body?" Of the 1213 males surveyed, 191 responded that they
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confidence interval to judge whether the proportion of males that
have at least one tattoo differs significantly from the proportion
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interval.
Let p1 represent the proportion...

A survey asked, "How many tattoos do you currently have on
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A survey asked, "How many tattoos do you currently have on
your body?" Of the 1229 males surveyed, 182 responded that they
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have at least one tattoo differs significantly from the proportion
of females that have at least one tattoo. Interpret the interval.
Let p1 represent the proportion...

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