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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Check the conditions for constructing a confidence interval for the difference in proportions.

Answers:
Random condition::met
10% condition::does not apply
Large Counts condition::met
Are all the conditions for inference met?:Yes
2
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✔ does not applymetnot met

A
does not apply
B
met
C
not met
3

does not apply✔ metnot met

A
does not apply
B
met
C
not met
4

✔ YesNoNot enough information

A
Yes
B
No
C
Not enough information
164772

Check the conditions for constructing a confidence interval for the difference in proportions.

Answers:
Random condition::met
10% condition::not met
Large Counts condition::not met
Are all the conditions for inference met?:No
164773

met✔ not metdoes not apply

A
met
B
not met
C
does not apply
164774

met✔ not metdoes not apply

A
met
B
not met
C
does not apply
164775

Yes✔ NoNot enough information

A
Yes
B
No
C
Not enough information
164788

A well-known coffee shop wants to estimate the difference in the proportion of caffeinated-coffee customers who order a large drink as compared with decaf-coffee customers who order a large. In a random sample of 500 caffeinated-coffee customers, 37% ordered larges. In a random sample of 370 decaf-coffee customers, 27% ordered larges.

Answers:
. Because contained in the interval, there is to believe there a difference in the proportions of caffeinated customers who order larges versus decaf customers who order larges.:Yes
. Because contained in the interval, there is to believe there a difference in the proportions of caffeinated customers who order larges versus decaf customers who order larges.:0
. Because contained in the interval, there is to believe there a difference in the proportions of caffeinated customers who order larges versus decaf customers who order larges.:is not
. Because contained in the interval, there is to believe there a difference in the proportions of caffeinated customers who order larges versus decaf customers who order larges.:convincing evidence
. Because contained in the interval, there is to believe there a difference in the proportions of caffeinated customers who order larges versus decaf customers who order larges.:is
164789

✔ 00.320.90

A
0
B
0.32
C
0.90
164790

is✔ is notmay be

A
is
B
is not
C
may be
164791

✔ convincing evidencenot enough evidenceplausible evidence

A
convincing evidence
B
not enough evidence
C
plausible evidence
164792

Researchers want to test a new hand exercise plan for arthritis patients to see if they have improved flexibility. They recruited 110 patients with arthritis in their hands and randomly assigned them to one of two treatment groups: group 1 took their regular medicine and did the new hand exercises; and group 2 only took medicine. After one month, 42 of the 55 in group 1 improved in their flexibility, and 37 of the 55 in group 2 improved their flexibility.

Answers:
Because contained in the interval, there is to believe there a difference in the proportion of patients like these who would show improvement in flexibility if they did the new hand exercises along wi:0
Because contained in the interval, there is to believe there a difference in the proportion of patients like these who would show improvement in flexibility if they did the new hand exercises along wi:is
Because contained in the interval, there is to believe there a difference in the proportion of patients like these who would show improvement in flexibility if they did the new hand exercises along wi:not enough evidence
Because contained in the interval, there is to believe there a difference in the proportion of patients like these who would show improvement in flexibility if they did the new hand exercises along wi:is
164793

✔ isis not

A
is
B
is not
164794

convincing evidence✔ not enough evidence

A
convincing evidence
B
not enough evidence
164795

✔ is is not

A
is
B
is not
164796

A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 “big” customers who were randomly selected, 160 claimed to also bank with other banks. Of the 300 “small” customers who were randomly selected, 120 claimed to also bank with other banks.

Answers:
Because contained in the interval, there is to believe there a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with:0
Because contained in the interval, there is to believe there a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with:is not
Because contained in the interval, there is to believe there a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with:convincing evidence
Because contained in the interval, there is to believe there a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with:is
164797

is✔ is not

A
is
B
is not
164798

not enough evidence✔ convincing evidence

A
not enough evidence
B
convincing evidence
164799

✔ is is not

A
is
B
is not

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