Question

"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 sample is an SRS of size *n* = 400?
(Round your answer to four decimal places.)

=

What is the probability that a sample proportion p̂ falls
between 0.46 and 0.52 if the sample is an SRS of size *n* =
5000?(Round your answer to four decimal places.)

=

all the answers in chegg is not correct please do your best

Answer #1

**Given:**

**p= 0.49**

(a) Here n=300, we will use z-test for proportions to calculate the probability,it would be as followed:

(b)When n=500, then the probability would be as followed:

"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...

"What do you think is the ideal number of children for a family
to have?" A poll asked this question of 1011 randomly chosen
adults. Almost half (49%) thought two children was ideal. Suppose
that p = 0.49 is exactly true for the population of all
adults. The polling company announced a margin of error of ±3
percentage points for this poll. What is the probability that the
sample proportion p̂ for an SRS of size n = 1011
falls...

return to the gallop poll setting of exercise 5.70 we are
supposing that the proportion of all adults who think that having
two children is ideal is p=0.48. what is the probability that a
sample proportion p falls between .44 and .52. within +-4
percentage points of the true p if the sample is an SRS of size
n=300? of size n=5000. general statement about the effect of larger
samples in a sample survey?

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....

A survey asked the question "What do you think is the ideal
number of children for a family to have?" 411 males and 343
females answered the survey and responded with a numeric response
from 0 to 6. The 411 males who responded had a mean of 3.18, and
standard deviation of 1.6, where the 343 females had a median of
2, a mean of 3.27 and a standard deviation of 1.69. The 95%
confidence interval for the female population...

Recently, the number of children Americans have has dropped. The
Gallup Poll organization wanted to know whether this was a change
in attitude or possibly a result of the recession, so they asked
Americans whether they have children, dont have children but wish
to, or dont want children. Out of a random sample of 1200 American
adults in 2013, 1140 said that they either have children or
want/wish to.
(a) Suppose the margin of error in the confidence interval above...

The proportion of individuals with an Rh-positive blood type is
84%. You have a random sample of
n = 500
individuals.
(a)
What are the mean and standard deviation of p̂, the
sample proportion with Rh-positive blood type? (Round your standard
deviation to four decimal places.)
mean standard deviation
(b)
Is the distribution of p̂ approximately normal? Justify
your answer.
Since np = and nq
= are ---Select--- not both
both greater than 5, the normal
approximation ---Select--- is not
is appropriate.
(c)
What is the...

According to a previous year's report, 18% of children have
myopia (the condition of nearsightedness). A random sample of 195
children recently had their vision checked.
a) Based on the sample of 195 children, show that the
Success/Failure condition is satisfied so that the sampling
distribution of p̂ is approximately normal. Don't round the
results.
b) Based on the sample of 195 children, find the mean and
standard deviation of the sampling distribution of p̂.
Round the standard deviation to...

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...

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