Question

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

Sample 1 |
Sample 2 |

n_{1} = 500 |
n_{2}= 200 |

p_{1}= 0.45 |
p_{2}= 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.

to

Answer #1

solution:-

a.point estimate

**=> p1 - p2 = 0.45 - 0.34 = 0.11**

b.90% confidence for z is 1.645

confidence interval formula

=> (p1 - p2) +/- z * sqrt(p1(1-p1)/n1 + p2(1-p2)/n2)

=> 0.11 +/- 1.645 * sqrt(0.45(1-0.45)/500 +
0.34(1-0.34)/200)

=> 0.11 +/- 0.0661

**=> (0.0439 , 0.1761)**

c.95% confidence for z is 1.96

confidence interval formula

=> (p1 - p2) +/- z * sqrt(p1(1-p1)/n1 + p2(1-p2)/n2)

=> 0.11 +/- 1.96 * sqrt(0.45(1-0.45)/500 +
0.34(1-0.34)/200)

=> 0.11 +/- 0.0788

**=> (0.0312 , 0.1888)**

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= 300
p1= 0.43
p2= 0.36
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
Sample 2
n1 = 400
n2 = 300
p1 = 0.53
p2 = 0.36
A. What is the point estimate of the difference between the two
population proportions? (Use
p1 − p2.
)
B. Develop a 90% confidence interval for the difference between
the two population proportions. (Use
p1 − p2.
Round your answer to four decimal places.)
to
C. Develop a 95% confidence interval for the...

Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 400
n2 = 300
p1 = 0.53
p2 = 0.31
(a)
What is the point estimate of the difference between the two
population proportions? (Use
p1 − p2.
)
(b)
Develop a 90% confidence interval for the difference between the
two population proportions. (Use
p1 − p2.
Round your answer to four decimal places.)
to
(c)
Develop a 95% confidence interval for the...

Consider the following results for two independent random
samples taken from two populations.
Sample 1
Sample 2
n 1 = 40
n 2 = 30
x 1 = 13.4
x 2 = 11.9
σ 1 = 2.3
σ 2 = 3.2
What is the point estimate of the difference between the two
population means? (to 1 decimal)
Provide a 90% confidence interval for the difference between
the two population means (to 2 decimals). Use
z-table.
( , )
Provide a...

{Exercise 10.01 Algorithmic}
Consider the following results for two independent random
samples taken from two populations.
Sample 1
Sample 2
n1 = 50
n2 = 30
x1 = 13.1
x2 = 11.2
σ1 = 2.1
σ2 = 3.2
What is the point estimate of the difference between the two
population means?
Provide a 90% confidence interval for the difference between the
two population means (to 2 decimals).
Provide a 95% confidence interval for the difference between the
two population means...

The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 40
n2 = 50
x1 = 32.2
x2 = 30.1
s1 = 2.6
s2 = 4.3
(a) What is the point estimate of the difference between the two
population means?
(b) What is the degrees of freedom for the t
distribution?
(c) At 95% confidence, what is the margin of error?
(d) What is the 95% confidence interval for the difference
between...

The following results come from two independent random samples
taken of two populations.
Sample 1
Sample 2
n1 = 60
n2 = 35
x1 = 13.6
x2 = 11.6
σ1 = 2.3
σ2 = 3
(a)
What is the point estimate of the difference between the two
population means? (Use
x1 − x2.)
(b)
Provide a 90% confidence interval for the difference between the
two population means. (Use
x1 − x2.
Round your answers to two decimal places.)
to
(c)...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago