Question

A simple random sample size of n = 75 is obtained from a population whose size is N = 10000 and whose population proportion with a specified characteristic is p = 0.8.

a) What is the probability of obtaining x = 63 or more individuals with the characteristic?

b) Construct a 90% interval for the population proportion if x = 30 and n = 150.

Answer #1

a)

b)

Standard error of the mean = SEM = √x(N-x)/N^{3} =
0.033

α = (1-CL)/2 = 0.050

Standard normal deviate for α = Z_{α} = 1.645

**Proportion of positive results = P = x/N =
0.200**

**Lower bound = P - (Z _{α}*SEM) =
0.146**

**Upper bound = P + (Z _{α}*SEM) =
0.254**

Suppose a simple random sample of size n=75 is obtained from a
population whose size is N= 25,000
and whose population proportion with a specified characteristic
is p=0.2.
(c) What is the probability of obtaining x=99
or fewer individuals with the characteristic? That is, what
is
P(p ≤ 0.12)?
(Round to four decimal places as needed.)

A simple random sample size of n=800 is obtained from a
population whose size is N=10,000,000 and whose population
proportion with a specified characteristic is p=.32.
a)describe the sampling distribution
b) What is the probability of obtaining x=350 or more
individuals with the characteristic?

Suppose a simple random sample of size n=1000 is obtained from a
population whose size is N=1,500,000 and whose population
proportion with a specified characteristic is p=0.55 .
a) What is the probability of obtaining x=580 or more
individuals with the characteristic?
P(x ≥ 580) = (Round to four decimal places as
needed.)
(b) What is the probability of obtaining x=530 or fewer
individuals with the characteristic?
P(x ≤ 530) = (Round to four decimal places as
needed.)

Q4. A simple random sample of size n=180 is obtained from a
population whose size=20,000 and whose population proportion with a
specified characteristic is p=0.45. Determine whether the sampling
distribution has an approximately normal distribution. Show your
work that supports your conclusions.
Q5. Using the values in Q4, calculate the probability of
obtaining x=72 or more individuals with a specified
characteristic.

Suppose a simple random sample of size n equals 50 is obtained
from a population whose size is Upper N equals 20 comma 000 and
whose population proportion with a specified characteristic is p
equals 0.6 . Complete parts (a) through (c) below. (b) What is
the probability of obtaining x equals 32 or more individuals with
the characteristic? That is, what is P(Modifying Above p with
caretgreater than or equals 0.64)? P(ModifyingAbove p with
caretgreater than or equals 0.64)equals...

Suppose a simple random sample of size n is obtained from a
population whose size is N and whose population proportion with a
specified characteristic is Complete parts (a) through (c) below. =
1000 = 2,000,000 p = 0.25. Click here to view the standard normal
distribution table (page 1).7 Click here to view the standard
normal distribution table (page 2).8 (a) Describe the sampling
distribution of p. A. Approximately normal, μ and p = 0.25 σ p ≈
0.0137...

Suppose a simple random sample of size n=200 is obtained from a
population whose size is N=10,000 and whose population proportion
with a specified characteristic is p=0.6.
Complete parts (a) through
(c) below.
(a) Describe the sampling distribution of
ModifyingAbove p with caretp.
Determine the mean of the sampling distribution of
ModifyingAbove p with caretp.
mu Subscript ModifyingAbove p with caret equals
μp=___
(Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution
of
sigma...

Suppose a simple random sample of size nequals1000 is obtained
from a population whose size is Nequals2 comma 000 comma 000 and
whose population proportion with a specified characteristic is p
equals 0.74 . Complete parts? (a) through? (c) below.(c) What is
the probability of obtaining xequals720 or fewer individuals with
the? characteristic? ?P(xless than or equals720?)equals nothing
?(Round to four decimal places as? needed.)

A
simple random sample of size n=35 is obtained from the UK
population with mean 75 and standard deviation of 10.
a.
What is P(x̄ >80)
b
What is P(72.4≤ x̄
≤
77.8)

simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 112, and the sample standard deviation, s, is found to be
10.
(a) Construct a 90% confidence interval about mu if the
sample size, n, is 19.
(b) Construct a 90% confidence interval about mu if the sample
size, n, is 12.
(c) Construct an 80% confidence interval about mu if the
sample size,...

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