AnswersAQR_A_ICTesting a Claim about a Difference between Proportions

Testing a Claim about a Difference between Proportions Answers

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Which of the following are the correct hypotheses for this test?

A
H0: = 0 versus Ha: < 0 where pD = the proportion of all dogs that can be trained to fetch a ball and pC = the proportion of all cats that can be trained to fetch a ball.
Option A
B
H0: = 0 versus Ha: < 0 where pD = the sample proportion of all dogs that can be trained to fetch a ball and pC = the sample proportion of all cats that can be trained to fetch a ball.
Option B
C
H0: = 0 versus Ha: > 0 where pD = the proportion of all dogs that can be trained to fetch a ball and pC = the proportion of all cats that can be trained to fetch a ball.
Option C
D
H0: = 0 versus Ha: > 0 where pD = the sample proportion of all dogs that can be trained to fetch a ball and pC = the sample proportion of all cats that can be trained to fetch a ball.
Option D
2
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✔ less thangreater thanequal to

A
✔ less than
B
greater than
C
equal to
3

✔ rejectfail to reject

A
✔ reject
B
fail to reject
4

✔ havedo not have

A
✔ have
B
do not have
5

less than✔ greater thanequal to

A
less than
B
✔ greater than
C
equal to
167094

An analyst in the department of research and development is trying to better understand what factors cause a printer to jam when completing 2-sided printing. He has 80 printers that he randomly allocates evenly to 2 treatments: regular paper and cardstock paper. He sends a 20-page 2-sided document to each printer and finds that 5 of the 40 printers using regular paper jam and 15 of the 40 printers using cardstock paper jam. Do these data provide convincing evidence that the proportion of printers that would jam while printing 2-sided on regular paper is less than the proportion that would jam while printing 2-sided on cardstock? Use .

Question illustration
Answers:
H0: versus Ha: where pR = the of all printers that jam while printing 2-sided on regular paper and pC = the of all printers that jam while printing 2-sided on cardstock paper.:equals zero
H0: versus Ha: where pR = the of all printers that jam while printing 2-sided on regular paper and pC = the of all printers that jam while printing 2-sided on cardstock paper.:is less than zero
H0: versus Ha: where pR = the of all printers that jam while printing 2-sided on regular paper and pC = the of all printers that jam while printing 2-sided on cardstock paper.:proportion
H0: versus Ha: where pR = the of all printers that jam while printing 2-sided on regular paper and pC = the of all printers that jam while printing 2-sided on cardstock paper.:proportion
167095

equals zerois greater than zero✔ is less than zero

A
equals zero
B
is greater than zero
C
✔ is less than zero
167096

✔ proportionmeannumbercount

A
✔ proportion
B
mean
C
number
D
count
167097

✔ proportionmeannumbercount

A
✔ proportion
B
mean
C
number
D
count
167150

For this test, z = –2.58 and the P-value = 0.0049.

Answers:
Because the P-value of 0.0049 = 0.05, we H0. We convincing evidence that the proportion of printers that would jam while printing 2-sided on regular paper the proportion that would jam while printing:is less than
Because the P-value of 0.0049 = 0.05, we H0. We convincing evidence that the proportion of printers that would jam while printing 2-sided on regular paper the proportion that would jam while printing:reject
Because the P-value of 0.0049 = 0.05, we H0. We convincing evidence that the proportion of printers that would jam while printing 2-sided on regular paper the proportion that would jam while printing:have
Because the P-value of 0.0049 = 0.05, we H0. We convincing evidence that the proportion of printers that would jam while printing 2-sided on regular paper the proportion that would jam while printing:is less than
167151

✔ rejectfail to reject

A
✔ reject
B
fail to reject
167152

✔ havedo not have

A
✔ have
B
do not have
167153

✔ is less thanis greater thanis equal to

A
✔ is less than
B
is greater than
C
is equal to
167154

Select all statements that are correct.

A
We want to carry out a 2-proportion z-test.
B
We want to carry out a 1-proportion z-test.
C
nD = 38
D
nD = 50
E
Option
Option E
F
Option
Option F
167155

Select all statements that are correct.

A
We have two independent random samples.
B
We have two groups in a randomized comparative experiment.
C
The 10% condition is met.
D
The 10% condition does not apply.
E
The expected number of successes and failures for both samples are 38, 12, 15, 45.
F
The expected number of successes and failures for both samples are 24, 26, 29, 31.
167156

Calculate the test statistic and P-value for this test, and then complete this concluding statement.

Answers:
Because the P-value of is we H0. We convincing evidence to conclude that the proportion of all dogs that can be trained to fetch a ball is the proportion of all cats that can be trained to fetch a bal:approximately 0
Because the P-value of is we H0. We convincing evidence to conclude that the proportion of all dogs that can be trained to fetch a ball is the proportion of all cats that can be trained to fetch a bal:less than
Because the P-value of is we H0. We convincing evidence to conclude that the proportion of all dogs that can be trained to fetch a ball is the proportion of all cats that can be trained to fetch a bal:reject
Because the P-value of is we H0. We convincing evidence to conclude that the proportion of all dogs that can be trained to fetch a ball is the proportion of all cats that can be trained to fetch a bal:have
Because the P-value of is we H0. We convincing evidence to conclude that the proportion of all dogs that can be trained to fetch a ball is the proportion of all cats that can be trained to fetch a bal:greater than
167157

Select all statements that are correct.

A
We want to carry out a 2-proportion z-test.
B
We want to carry out a 1-proportion z-test.
C
nR = 40
D
nR = 5
E
Option
Option E
F
Option
Option F
167158

Select all statements that are correct.

A
We have two independent random samples.
B
We have two groups in a randomized comparative experiment.
C
The 10% condition does not apply.
D
The 10% condition is met.
E
The expected number of successes and failures for both samples are 10, 30, 10, 30.
F
The expected number of successes and failures for both samples are 5, 35, 15, 25.
167159

80 printers randomly allocated evenly to 2 treatments: regular paper and cardstock paper5 of the 40 printers using regular paper jam15 of the 40 printers using cardstock paper jamH0: = 0 versus Ha: < 0where pR = the proportion of all printers that jam while printing 2-sided on regular paper, and pC = the proportion of all printers that jam while printing 2-sided on cardstock paperUse .

Question illustration
Answers:
Blank 1:167143
Blank 2:167144
167160

What is the value of the standardized test statistic, P-value, and conclusion for this test?If needed, use the z-table to answer the question.

A
z = 0.10, P-value = 0.46, reject H0.
B
z = 0.10, P-value = 0.92, fail to reject H0.
C
z = 0.62, P-value = 0.27, reject H0.
D
z = 0.62, P-value = 0.54, fail to reject H0.

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