Question

The population proportion is 0.38. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.)

(a) n = 100

(b) n = 200

(c) n = 500

(d) n = 1,000

(e) What is the advantage of a larger sample size? We can guarantee p will be within ±0.04 of the population proportion p. There is a higher probability p will be within ±0.04 of the population proportion p. As sample size increases, E(p) approaches p. There is a higher probability σp will be within ±0.04 of the population standard deviation.

Answer #1

The population proportion is 0.38. What is the probability that
a sample proportion will be within ±0.04 of the population
proportion for each of the following sample sizes? (Round your
answers to 4 decimal places.)
(a)
n = 100
(b)
n = 200
(c)
n = 500
(d)
n = 1,000

The population proportion is 0.5. What is the probability that a
sample proportion will be within +/- 0.05 of the population
proportion for each of the following sample sizes? Round your
answers to 4 decimal places. Use z-table.
a.
n=100
b.
n=200
c.
n=500
d.
n=1,000

The population proportion is 0.40. What is the probability that
a sample proportion will be within ±0.04 of the population
proportion for each of the following sample sizes? (Round your
answers to 4 decimal places.) (a) n = 100

the population proportion is 0.40, what is the probability that
a simple proportion will be within +0.03, -0.03 of the population
proportion if the sample size in 200?

A population proportion is 0.3. A sample of size 100 will be
taken and the sample proportion will be used to estimate
the population proportion. Use z-table.
Round your answers to four decimal places.
a. What is the probability that the sample
proportion will be within ±0.04 of the population proportion?
b. What is the probability that the sample
proportion will be within ±0.08 of the population proportion?

A population
proportion is 0.5. A sample of size 300 will be taken and the
sample proportion P will be used to estimate the population
proportion. Use z-table.
Round your answers to
four decimal places.
a.
What is the probability that the sample proportion will be within
±0.04 of the population proportion?
b.
What is the probability that the sample proportion will be within
±0.06 of the population proportion?

A population proportion is 0.40. A sample of size 200 will be
taken and the sample proportion
p
will be used to estimate the population proportion. (Round your
answers to four decimal places.)
(a)
What is the probability that the sample proportion will be
within ±0.03 of the population proportion?
(b)
What is the probability that the sample proportion will be
within ±0.05 of the population proportion?

Assume that the population proportion is 0.48. Compute the
standard error of the proportion,
σp,
for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000;
and 100,000,000. (Round your answers to five decimal places.)
sample size of 500,000sample size of 1,000,000sample size of
5,000,000sample size of 10,000,000sample size of 100,000,000
What can you say about the size of the standard error of the
sample proportion as the sample size is increased?
The standard error of the sample proportion,
σp,
---Select--- increases decreases...

In the EAI sampling problem, the population mean is 51900 and
the population standard deviation is 4000. When the sample size is
n=30 , there is a 0.5034 probability of obtaining a sample mean
within +/- 500 of the population mean. Use z-table.
a. What is the probability that the sample mean
is within 500 of the population mean if a sample of size 60 is used
(to 4 decimals)?
b. What is the probability that the sample mean
is...

Assume that the population proportion is 0.46. Compute the
standard error of the proportion, σp, for sample sizes of 500,000;
1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your
answers to five decimal places.) sample size of 500,000 sample size
of 1,000,000 sample size of 5,000,000 sample size of 10,000,000
sample size of 100,000,000 What can you say about the size of the
standard error of the sample proportion as the sample size is
increased? The standard error of the sample proportion,...

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