Question

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.

to

Answer #1

The statistical software output for this problem is:

**Two sample proportion summary confidence
interval:**

p_{1} : proportion of successes for population 1

p_{2} : proportion of successes for population 2

p_{1} - p_{2} : Difference in proportions

**90% confidence interval results:**

Difference | Count1 | Total1 | Count2 | Total2 | Sample Diff. | Std. Err. | L. Limit | U. Limit |
---|---|---|---|---|---|---|---|---|

p_{1} -
p_{2} |
215 | 500 | 108 | 300 | 0.07 | 0.035471115 | 0.011655208 | 0.12834479 |

**95% confidence interval results:**

Difference | Count1 | Total1 | Count2 | Total2 | Sample Diff. | Std. Err. | L. Limit | U. Limit |
---|---|---|---|---|---|---|---|---|

p_{1} -
p_{2} |
215 | 500 | 108 | 300 | 0.07 | 0.035471115 | 0.00047789217 | 0.13952211 |

Hence,

a) Point estimate = **0.07**

b) 90% confidence interval:

(0.0117, 0.1283)

c) 95% confidence interval:

(0.0005, 0.1395)

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 _________

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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).
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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=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 = 0.31
(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 independent samples taken
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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)

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
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Provide a 90% confidence interval for the difference between
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( , )
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
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Provide a 95% confidence interval for the difference between the
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The following results are for independent random samples taken
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Sample 1
Sample 2
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n2 = 50
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Sample 1
Sample 2
n1=200
n2=300
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a. What is the value of the test statistic (to 2
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c. With a=0.05, what is your hypothesis testing
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