Question

Consider the following results for independent samples taken from two populations.

Sample 1 | Sample 2 |
---|---|

n |
n |

p |
p |

A. What is the point estimate of the difference between the two population proportions? (Use

p_{1} − p_{2}.

)

B. Develop a 90% confidence interval for the difference between the two population proportions. (Use

p_{1} − p_{2}.

Round your answer to four decimal places.)

to

C. Develop a 95% confidence interval for the difference between the two population proportions. (Use

p_{1} − p_{2}.

Round your answer to four decimal places.)

Answer #1

The statistical software output for this problem is:

Hence,

a) Point estimate = **0.17**

b) 90% confidence interval:

**0.1087** to **0.2313**

c) 95% confidence interval:

**0.0969** to **0.3431**

Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 500
n2= 200
p1= 0.46
p2= 0.31
b. Develop a 90% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table.
______ to ________
c. Develop a 95% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table.
________ to _________

Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 500
n2= 200
p1= 0.45
p2= 0.34
a. What is the point estimate of the difference
between the two population proportions (to 2 decimals)?
b. Develop a 90% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table.
to
c. Develop a 95% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table....

Consider the following results for independent samples taken
from two populations.
sample 1
sample 2
n1=500
n2=200
p1= 0.42
p2= 0.34
a. What is the point estimate of the difference between the two
population proportions (to 2 decimals)?
b. Develop a confidence interval for the difference between the
two population proportions (to 4 decimals). (______to _______)
c. Develop a confidence interval for the difference between the
two population proportions (to 4 decimals). (______to________)

Consider the following results for independent samples taken
from two populations.
sample 1
n=400
p=0.48
sample 2
n=300
p=0.36
Develop a 95% confidence interval for the difference between the
two population proportions.
Select one:
a. (0.13 to 0.29)
b. (0.05 to 0.19)
c. (0.09 to 0.21)
d. (0.06 to 0.18)

The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 20
n2 = 30
x1 = 22.8
x2 = 20.1
s1 = 2.6
s2 = 4.6
(a)
What is the point estimate of the difference between the two
population means? (Use
x1 − x2.
)
(b)
What is the degrees of freedom for the t distribution?
(Round your answer down to the nearest integer.)
(c)
At 95% confidence, what is the margin...

The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 20
n2 = 30
x1 = 22.5
x2 = 20.1
s1 = 2.2
s2 = 4.6
(a)
What is the point estimate of the difference between the two
population means? (Use
x1 − x2.
)
(b)
What is the degrees of freedom for the t distribution?
(Round your answer down to the nearest integer.)
(c)
At 95% confidence, what is the margin...

The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 20
n2 = 30
x1 = 22.5
x2 = 20.1
s1 = 2.9
s2 = 4.6
a) What is the point estimate of the difference between the two
population means? (Use
x1 − x2.)
b) What is the degrees of freedom for the t
distribution? (Round your answer down to the nearest integer.)
c) At 95% confidence, what is the margin of...

The numbers of successes and the sample sizes for independent
simple random samples from two populations are x1=15, n1=30, x2=59,
n2=70. Use the two-proportions plus-four z-interval procedure to
find an 80% confidence interval for the difference between the two
populations proportions. What is the 80% plus-four confidence
interval?

Independent random samples of
n1 = 700
and
n2 = 590
observations were selected from binomial populations 1 and 2,
and
x1 = 337
and
x2 = 375
successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)

Consider the following results for independent random samples
taken from two populations.
Sample 1
Sample 2
n 1 = 20
n 2 = 40
x 1 = 22.1
x 2 = 20.9
s 1 = 2.4
s 2 = 4.7
What is the point estimate of the difference between the two
population means (to 1 decimal)?
What is the degrees of freedom for the t distribution
(round down your answer to nearest whole number)?
At 95% confidence, what is the...

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