Question

Consider a population proportion p = 0.88.

**a-1.** Calculate the expected value and the
standard error of P−P− with *n* = 30.

**a-2.** Is it appropriate to use the normal
distribution approximation for P−P− ?

**b-1.** Calculate the expected value and the
standard error of P−P− with *n* = 60.

**b-2.** Is it appropriate to use the normal
distribution approximation for P−P− ?

Answer #1

Given that,

p = 0.88

a)

1 )

1 - p = 1-0.88 = 0.12

n = 30

**expected value =**
= p = 0.88

**standard error =**
= [p(
1 - p ) / n] =
[0.88*(0.12) /30 ] = 0.0593

2) No.

b)

1 )

n = 60

**expected value =**
= p = 0.88

**standard error =**
= [p(
1 - p ) / n] =
[0.88*(0.12) /60 ] = 0.0420

2) Yes.

*****please ask if you have any doubts.Happy to help
you.Thank you.Please Like.**

1. Consider a population proportion p = 0.27.
a. Calculate the standard error for the
sampling distribution of the sample proportion when n = 17
and n = 65? (Round your final answer to 4 decimal
places.)
b. Is the sampling distribution of the sample
proportion approximately normal with n = 17 and n
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c. Calculate the probability that the sample
proportion is between 0.25 and 0.27 for n = 65.
(Round "z-value" to 2 decimal places and...

Consider a population proportion p = 0.37. [You
may find it useful to reference the z
table.]
a. Calculate the standard error for the
sampling distribution of the sample proportion when n = 10
and n = 75? (Round your final answer to 4 decimal
places.)
b. Is the sampling distribution of the sample
proportion approximately normal with n = 10 and n
= 75?
c. Calculate the probability that the sample
proportion is between 0.35 and 0.37 for n...

Consider a population proportion p = 0.17. [You
may find it useful to reference the z
table.]
a. Calculate the standard error for the
sampling distribution of the sample proportion when n = 25
and n = 55? (Round your final answer to 4 decimal
places.)
b. Is the sampling distribution of the sample
proportion approximately normal with n = 25 and n
= 55?

1. A sampling distribution of the mean has a
mean μ X̄ =45 μ X̄ =45 and a
standard error σ X̄ =7 σ X̄ =7
based on a random sample of n=15.n=15.
a. What is the population mean?
b. What is the population standard
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Round to two decimal places if necessary
2. If it is appropriate to do so, use the normal approximation
to the p^ p^ -distribution to calculate the
indicated probability:
Standard Normal Distribution Table
n=80,p=0.715n=80,p=0.715
P( p̂ > 0.75)P( p̂ > 0.75) =
Enter 0...

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For a population with a proportion equal to 0.33
calculate the standard error of the proportion for the following
sample sizes.
a) 35
b) 70
c) 105
a)
σ=_
(Round to four decimal places as needed.)

5) If it is appropriate to do so, use the
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Enter 0 if it is not appropriate to do so.

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c.A sample mean
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Round your answer for the standard error to three decimal
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standard error = ___________________
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If it is appropriate to do so, use the normal approximation to
the p^ p^ -distribution to calculate the
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Standard Normal Distribution Table
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P( p̂ > 0.75)P( p̂ > 0.75) =
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Please provide correct answer. thanks

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