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

Preparing to Estimate a Population Proportion Answers

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1
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Match each condition to the correct description.

Answers:
Random condition::met
10% condition::met
Large counts condition::met
Are the conditions for inference met?:yes
2
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The general form of a confidence interval is:

Answers:
± ()():Point estimate
± ()():critical value
± ()():standard deviation of the statistic
3

✔ critical valuepoint estimateX standard deviation of the statisticmargin of error

A
✔ critical value
B
point estimate
C
X standard deviation of the statistic
D
margin of error
4

critical valueX point estimate✔ standard deviation of the statisticmargin of error

A
critical value
B
X point estimate
C
✔ standard deviation of the statistic
D
margin of error
5

Match each condition to the correct description.

Answers:
Point estimator::B
Critical value::C
Approximate standard deviation of::A
6

AX B✔ C

A
A
B
X B
C
✔ C
7

✔ ABX C

A
✔ A
B
B
C
X C
8

Match each condition to the correct description.

Answers:
Random condition::C
10% condition::A
Large counts condition::B
9

✔ ABX C

A
✔ A
B
B
C
X C
10

A✔ BX C

A
A
B
✔ B
C
X C
11

When building a confidence interval for a population proportion, why is it important for the observations to be selected randomly?

A
to guarantee that the value of the population parameter can be determined
B
to trust that they accurately describe the population of interest
C
to determine the critical value
D
to ensure that the 10% condition is met
12

When do we check the 10% condition?

A
when we sample with replacement from a population
B
when we sample from a finite population without replacement
C
when we sample from a population
D
when we want to construct a confidence interval
13

Suppose we want to construct a confidence interval for p and n = 50 and p hat = 0.9. Is the large counts condition met?

Question illustration
A
Yes, is at least 10.
Option A
B
Yes, is at least 10.
Option B
C
Yes, both [image 1] and [image 2] are at least 10.
Option C
D
No, [image 1] and [image 2] are not both at least 10.
Option D
14

✔ metnot met

Answers:
Random condition::met
10% condition::met
Large counts condition::met
Are the conditions for inference met?:yes
15

✔ metX not met

A
✔ met
B
X not met
16

✔ metX not met

A
✔ met
B
X not met
17

✔ yesX no

A
✔ yes
B
X no
18

Question text not available

Answers:
Random condition::met
10% condition::met
Large counts condition::not met
Are the conditions for inference met?:no
19

Identify the parts of a confidence interval.

Answers:
is the .:point estimator
z* is the .:critical value
is the of .:standard error
20

✔ critical valueX point estimatorstandard error

A
✔ critical value
B
X point estimator
C
standard error

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