AnswersCA-Statistics and Probability BEstimating the Difference between Two Population Proportions

Estimating the Difference between Two Population Proportions Answers

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1
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The random condition because the data comes from .

A
is met
B
is not met
2
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The random condition because the data comes from .

A
a simple random sample
B
two samples that are not independent
C
two independent random samples
D
two groups in a randomized experiment
3

Large Counts condition:

A
met
B
not met
C
does not apply
4

Are all the conditions for inference met?

A
yes
B
no
C
not enough information
5

Random condition:

A
met
B
not met
C
does not apply
6

=

A
0.680
B
0.745
C
2.756
7

=

A
0.680
B
0.745
C
2.756
8

In the study on a drug for lowering cholesterol levels, after 1 month:41 of 55 subjects reduced cholesterol with new medicine.34 of 50 subjects reduced cholesterol with old medicine.99% confidence interval: (–0.163, 0.293)Choose the correct conclusion.

A
We are 99% confident that the interval from -0.163 to 0.293 captures p1 – p2, the difference in the sample proportions of patients like these who would have their cholesterol lowered as a result of using the new drug versus using the old drug.
B
We are 99% confident that the interval from -0.163 to 0.293 captures p1 – p2, the difference in the true proportions of patients like these who lowered their cholesterol as a result of using the new drug versus using the old drug.
C
We are 99% confident that the interval from -0.163 to 0.293 captures p1 – p2, the difference in the true proportions of patients like these who would have their cholesterol lowered by using the new drug versus using the old drug.
D
We are 99% confident that the interval from -0.163 to 0.293 captures p1 – p2, the difference in the true means of patients like these who would have their cholesterol lowered by using the new drug versus using the old drug.
9

Since contained in the interval, there is to believe that there a difference in the proportions of suburban households that have SUVs versus urban households that have SUVs.

A
0
B
0.205
C
0.90
10

10% condition:

A
met
B
not met
C
does not apply
11

n1 =

A
34
B
41
C
50
D
55
12

Since contained in the interval, there is to believe that there a difference in the proportions of suburban households that have SUVs versus urban households that have SUVs.

A
is
B
is not
13

z*=

A
0.680
B
0.745
C
2.576
14

n2 =

A
34
B
41
C
50
D
55
15

Since contained in the interval, there is to believe that there a difference in the proportions of suburban households that have SUVs versus urban households that have SUVs.

A
convincing evidence
B
not enough evidence
16

Since contained in the interval, there is to believe that there a difference in the proportions of suburban households that have SUVs versus urban households that have SUVs.

A
is not
B
is

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Estimating the Difference between Two Population Proportions