AnswersAQR_A_ICTesting a Claim about a Difference between Proportions

Testing a Claim about a Difference between Proportions Answers

13 verified answers
1
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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

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