Answers2026-2027 FBISD - Advanced Quantitative Reasoning BLENDED- LiConditional Probabilities

Estimating the Difference between Two Population Proportions Answers

24 verified answers
1
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Is there convincing evidence that there is a difference in the proportions of suburban households that have SUVs versus urban households that have SUVs?

Answers:
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.:0
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.:is not
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.:convincing evidence
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.:is
2
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A survey asked independent random samples of drivers from Northern states and Southern states about the importance of owning a car with 4-wheel drive (4WD). Of the 1,800 Northerners, 57% said 4WD was important, compared with the 32% of the 1,500 Southerners surveyed.

Answers:
The random condition because the data comes from .:is met
The random condition because the data comes from .:two independent random samples
3

a simple random sampleX two samples that are not independent✔ two independent random samplestwo groups in a randomized experiment

A
a simple random sample
B
X two samples that are not independent
C
✔ two independent random samples
D
two groups in a randomized experiment
4

In two independent random samples of size n1 = 325 and n2 = 455, 1 = 0.71 and 2 = 0.64.

Question illustration
Answers:
=:231
=:94
=:291
=:164
5

✔ 94164 231 291

A
✔ 94
B
164
C
231
D
291
6

94 164 231 ✔ 291

A
94
B
164
C
231
D
✔ 291
7

94 ✔ 164231 291

A
94
B
✔ 164
C
231
D
291
8

Check the conditions for calculating a confidence interval that estimates the true difference in the proportions of tomato plants that yield large tomatoes for plants receiving organic fertilizer and those not.

Answers:
Random condition::met
10% condition::does not apply
Large Counts condition::met
Are all the conditions for inference met?:yes
9

metnot met✔ does not apply

A
met
B
not met
C
✔ does not apply
10

✔ metX not metdoes not apply

A
✔ met
B
X not met
C
does not apply
11

✔ yesnoX not enough information

A
✔ yes
B
no
C
X not enough information
12

In the study on a drug for lowering cholesterol levels, after 1 month:

Answers:
State: for p1– p2, where p1 = of patients like these whose cholesterol would be lowered by using the new drug, and p2 = of patients like these whose cholesterol would be lowered by using the original:99% confidence interval
State: for p1– p2, where p1 = of patients like these whose cholesterol would be lowered by using the new drug, and p2 = of patients like these whose cholesterol would be lowered by using the original:true proportion
State: for p1– p2, where p1 = of patients like these whose cholesterol would be lowered by using the new drug, and p2 = of patients like these whose cholesterol would be lowered by using the original:true proportion
13

✔ true proportion true mean

A
✔ true proportion
B
true mean
14

✔ true proportion X true mean

A
✔ true proportion
B
X true mean
15

Enter the values for the variables.

Answers:
=:0.745
=:0.680
z*=:2.576
n1 =:55
n2 =:50
16

✔ 0.6800.745X 2.756

A
✔ 0.680
B
0.745
C
X 2.756
17

X 0.6800.745✔ 2.576

A
X 0.680
B
0.745
C
✔ 2.576
18

X 344150✔ 55

A
X 34
B
41
C
50
D
✔ 55
19

3441✔ 50X 55

A
34
B
41
C
✔ 50
D
X 55
20

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.

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