Question
In: Statistics and Probability
Consider the following sample information randomly selected from two populations. Sample 1 Sample 2 n1=100 n2=50...
Consider the following sample information randomly selected from two populations.
Sample 1 Sample 2
n1=100 n2=50
x1=30 x2=20
a. nbsp Determine if the sample sizes are large enough so that the sampling distribution for the difference between the sample proportions is approximately normally distributed.
b. Calculate a 98% confidence interval for the difference between the two population proportions.
a. Are the sample sizes sufficiently large?
No, because np overbar and n(1minusp overbar) are less than 5 for both samples.
No, because np overbar and n(1minusp overbar) are greater than or equal to 5 for both samples.
Yes, because np overbar and n(1minusp overbar) are less than 5 for both samples.
Yes, because np overbar and n(1minusp overbar) are greater than or equal to 5 for both samples.
b. Calculate a 98% confidence interval for the difference between the two population proportions.
___ ≤(p1−p2)≤ ___
Solutions
orchestra answered 2 years agoRelated Solutions
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 400
n2= 300
p1= 0.49
p2= 0.38
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...
Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 500
n2= 200
p1= 0.42
p2= 0.31
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...
Consider the following results for independent samples taken
from two populations.
Sample 1 Sample 2
n1 = 500 n2= 300
p1= 0.49 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).
to
c. Develop a 95% confidence interval for the
difference between the two population proportions (to 4
decimals).
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 500
n2 = 200
p1 = 0.44
p2 = 0.31
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).
to
c. Develop a 95% 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...
Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 400
n2 = 300
p1 = 0.54
p2 = 0.38
(a) What is the point estimate of the difference between the two
population proportions?
(b) Develop a 90% confidence interval for the difference between
the two population proportions.
(c) Develop a 95% confidence interval for the difference between
the two population proportions.
Consider the following results for two independent random samples taken from two populations. Sample 1: n1...
Consider the following results for two independent random
samples taken from two populations.
Sample 1:
n1 = 40
x̅1 = 13.9
σ1 = 2.3
Sample 2:
n2 = 30
x̅2 = 11.1
σ2 = 3.4
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).
Provide a 95% confidence interval for the difference between the
two population means...
Consider the following results for two independent random samples taken from two populations. Sample 1: n1...
Consider the following results for two independent random
samples taken from two populations.
Sample 1:
n1 = 40
x̅1 = 13.9
σ1 = 2.3
Sample 2:
n2 = 30
x̅2 = 11.1
σ2 = 3.4
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).
Provide a 95% confidence interval for the difference between the
two population means...
Consider the following results for independent samples taken from two populations. Sample 1: n1: 500 p1:...
Consider the following results for independent samples taken
from two populations.
Sample 1:
n1: 500
p1: .46
sample 2:
n2: 200
p2: .32
What is the point estimate of the difference between the two
population proportions (to 2 decimals)?
Develop a 90% confidence interval for the difference between the
two population proportions (to 4 decimals).
Develop a 95% confidence interval for the difference between the
two population proportions (to 4 decimals).
Consider the following results for two samples randomly taken from two populations. Sample A Sample B...
Consider the following results for two samples randomly taken
from two populations.
Sample A Sample B
Sample Size 31 35
Sample Mean 106 102
Sample Standard Deviation 8 7
Test the hypothesis Ho=sigma1-sigma2=0 vs Ha=sigma1-sigma2 do
not equal 0 at 5% level of significance. Show all six steps using
p-value approach.
Independent random samples of n1 = 800 and n2 = 610 observations were selected from binomial populations...
Independent random samples of n1 = 800 and
n2 = 610 observations were selected from binomial
populations 1 and 2, and x1 = 336 and x2 =
378 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.)
_______ to _______/
(b) What assumptions must you make for the confidence interval
to be valid? (Select all that apply.)
independent random samples
symmetrical distributions for...
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