AnswersCA-Statistics and Probability BPreparing to Estimate a Population Proportion

Estimating a Population Proportion Answers

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Whenever you are asked to construct and interpret a confidence interval, what are the steps to the process you must complete?

A
plan, state, do, conclude
B
state, plan, do, conclude
C
plan, do, state, conclude
D
state, do, conclude, plan
2
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confidence interval for p = the of students who think the food tastes good.

A
sample proportion
B
true proportion
C
estimated proportion
D
average number
3

4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.

A
sample proportion
B
true proportion
C
estimated proportion
D
average number
4

4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.

A
would admit
B
did admit
C
admitted
D
have admitted
5

confidence interval for p = the of students who think the food tastes good.

A
90%
B
95%
C
98%
D
99%
6

One-sample z-interval for p:

A
greater than
B
equal to
C
less than
7

4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.

A
90%
B
95%
C
98%
D
99%
8

Thomari constructs a 95% confidence interval to estimate the proportion of students at her high school who like the cafeteria food. Assume that all conditions have been met. Her 95% one-proportion z-interval is (0.23, 0.46).Is it reasonable to conclude that the majority of the students at Thomari’s high school do not like the cafeteria food?

A
Yes, because the interval of students who like the food does not contain 0.5, the interval of students who do not like the food would be entirely below 0.5.
B
Yes, because the interval of students who like the food is entirely below 0.5, the interval of students who do not like the food would be entirely above 0.5.
C
No, because a different sample might give different results, so no conclusion can be drawn.
D
No, because Thomari’s interval is entirely below 0.5, so it cannot represent a majority.
9

One-sample z-interval for p:

A
0
B
10
C
50
D
100
10

4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.

A
0.2044 to 0.265
B
20 to 27
C
155.325 to 200.775
D
156 to 201
11

Whenever you are asked to construct and interpret a confidence interval, what are the steps to the process you must complete?

A
plan, state, do, conclude
B
state, plan, do, conclude
C
plan, do, state, conclude
D
state, do, conclude, plan
12

One-sample z-interval for p:

Answers:
4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.:95%
4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.:0.2044 to 0.265
4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.:true proportion
4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.:would admit
13

90%95%98%✔ 99%

Answers:
confidence interval for p = the of students who think the food tastes good.:99%
confidence interval for p = the of students who think the food tastes good.:true proportion
14

sample proportion✔ true proportionX estimated proportionaverage number

A
sample proportion
B
✔ true proportion
C
X estimated proportion
D
average number
15

One-sample z-interval for p:

Answers:
10%: It is reasonable to assume that 750 is 10% of all smartphone users.:less than
Large Counts: The number of successes (176) and the number of failures (750 – 176 = 574) are both ≥ .:10
16

X 0✔ 1050100

A
X 0
B
✔ 10
C
50
D
100
17

90%✔ 95%X 98%99%

Answers:
4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.:95%
4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.:0.2044 to 0.265
4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.:true proportion
4. Conclude. Interpret the interval in context.We are confident that the interval from captures the of all smartphone users who to walking into something or someone while texting on their cell phone.:would admit
18

✔ 0.2044 to 0.26520 to 27155.325 to 200.775156 to 201

A
✔ 0.2044 to 0.265
B
20 to 27
C
155.325 to 200.775
D
156 to 201
19

sample proportion✔ true proportionX estimated proportionaverage number

A
sample proportion
B
✔ true proportion
C
X estimated proportion
D
average number
20

✔ would admitdid admitadmittedhave admitted

A
✔ would admit
B
did admit
C
admitted
D
have admitted

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