DCKCU ouL. Suojecis were assigneu aL ranoom to uic uirce expernena groups, anu in cacn expermem, une numoer or subjects who selected the sheet with the dogs and their owners correctly matched was recorded. Experimenters were interested in whether blacking out portions of the faced reduced the ability of subjects to correctly match dogs and owners. The results are displayed. Number of Number Correctly Experiment Subjects Matched Experiment 1 61 49 Experiment 2 (mouth 51 37 blacked out) Experiment 3 (eyes blacked out) 60 30 (a) Is there evidence that blacking out the mouth reduces a subject's ability to choose the sheet which correctly matches the dogs and their owners? Use the four-step process to answer the question. STATE: Which choice best describes the statement of this experiment/study. O We want to know if blacking out the mouth region reduces a subject's ability to correctly match the dog-owner pairs. O This is an observational study, since the variable of interest is measured but there is no attempt to influence the responses. O This is an experiment, since it includes two independent samples. O This is an experiment, since the samples are taken randomly. O This is an observational study, since it applies to female Hispanic drivers alone. PLAN: To examine whether the null hypothesis is true we should test the hypotheses: Ho: PI = P2 Versus H Pi # P2 Ho: PI = P2 Versus H Pi < P2 O Ho: Pi # P2 versus H: Pi = P2 O Ho: PI= P2 versus H: pPI > P2 SOLVE: Assume the samples can be thought of as an SRS. We can conduct a hypothesiss test since there are more than five successes (correctly identified the pairs) and more than five failures in each sample. Calculate p. P and p. (Enter your answers rounded to four decimal places.)

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SOLVE: Assume the samples can be thought of as an simple random sample. We can conduct a hypothesis test since
there are more than five successes (correctly identified the pairs) and more than five failures in each sample. Calculate
Pi. P2, and p. (Enter your answers for p, and p rounded to four decimal places, and your answer for p, rounded to one
decimal place.)
P2
Compute the z test statistic. (Enter your answer rounded to one decimal place.)
Using the software of your choice, find the P-value for the null hypothesis.
O 0,05 < P
O 0.0005 <P< 0.005
O 0.005 < P < 0.05
O P< 0.0005
CONCLUDE: Which conclusion is correct?
O There is weak evidence that blacking out the eye region reduces one's ability to match dog-owner pairs.
O There is strong evidence that blacking out the cye region reduces one's ability to match dog-owner pairs.
(c) Contrast your conclusions in part (a) and (b) in the context of the problem. Select the best choice.
O The evidence in (a) and (b) are too close to make a conclusion.
O The conclusions in parts (a) and (b) imply the mouth region plays a larger role in matching dogs than the eye region
does.
O The conclusions in parts (a) and (b) imply the eye region plays a larger role in matching dogs than the mouth region
does.
Transcribed Image Text:SOLVE: Assume the samples can be thought of as an simple random sample. We can conduct a hypothesis test since there are more than five successes (correctly identified the pairs) and more than five failures in each sample. Calculate Pi. P2, and p. (Enter your answers for p, and p rounded to four decimal places, and your answer for p, rounded to one decimal place.) P2 Compute the z test statistic. (Enter your answer rounded to one decimal place.) Using the software of your choice, find the P-value for the null hypothesis. O 0,05 < P O 0.0005 <P< 0.005 O 0.005 < P < 0.05 O P< 0.0005 CONCLUDE: Which conclusion is correct? O There is weak evidence that blacking out the eye region reduces one's ability to match dog-owner pairs. O There is strong evidence that blacking out the cye region reduces one's ability to match dog-owner pairs. (c) Contrast your conclusions in part (a) and (b) in the context of the problem. Select the best choice. O The evidence in (a) and (b) are too close to make a conclusion. O The conclusions in parts (a) and (b) imply the mouth region plays a larger role in matching dogs than the eye region does. O The conclusions in parts (a) and (b) imply the eye region plays a larger role in matching dogs than the mouth region does.
DiaCKeu out. Suojecis were assigneu aL ranuom to une urce expermena groups, anu in cacn experimen, uie numoer on
subjects who selected the sheet with the dogs and their owners correctly matched was recorded. Experimenters were
interested in whether blacking out portions of the faced reduced the ability of subjects to correctly match dogs and
owners. The results are displayed.
Number of Number Correctly
Experiment
Subjects
Matched
Experiment 1
61
49
Experiment 2 (mouth
51
37
blacked out)
Experiment 3 (eyes
blacked out)
60
30
(a) Is there evidence that blacking out the mouth reduces a subject's ability to choose the sheet which correctly matches
the dogs and their owners?
Use the four-step process to answer the question.
STATE: Which choice best describes the statement of this experiment/study.
O We want to know if blacking out the mouth region reduces a subject's ability to correctly match the dog-owner
pairs.
O This is an observational study, since the variable of interest is measured but there is no attempt to influence the
responses.
O This is an experiment, since it includes two independent samples.
O This is an experiment, since the samples are taken randomly.
O This is an observational study, since it applies to female Hispanic drivers alone.
PLAN: To examine whether the null hypothesis is true we should test the hypotheses:
O Họ: PI = P, versus H: Pi # P2
O Ho: PI = P versus H: Pi < P2
O Ho: Pi + P2 versus H: Pi = P2
O Ho: Pi = P versus H: Pi > P2
SOLVE: Assume the samples can be thought of as an SRS. We can conduct a hypothesiss test since there are more than
five successes (correctly identified the pairs) and more than five failures in each sample. Calculate p. P, and p. (Enter
your answers rounded to four decimal places.)
Transcribed Image Text:DiaCKeu out. Suojecis were assigneu aL ranuom to une urce expermena groups, anu in cacn experimen, uie numoer on subjects who selected the sheet with the dogs and their owners correctly matched was recorded. Experimenters were interested in whether blacking out portions of the faced reduced the ability of subjects to correctly match dogs and owners. The results are displayed. Number of Number Correctly Experiment Subjects Matched Experiment 1 61 49 Experiment 2 (mouth 51 37 blacked out) Experiment 3 (eyes blacked out) 60 30 (a) Is there evidence that blacking out the mouth reduces a subject's ability to choose the sheet which correctly matches the dogs and their owners? Use the four-step process to answer the question. STATE: Which choice best describes the statement of this experiment/study. O We want to know if blacking out the mouth region reduces a subject's ability to correctly match the dog-owner pairs. O This is an observational study, since the variable of interest is measured but there is no attempt to influence the responses. O This is an experiment, since it includes two independent samples. O This is an experiment, since the samples are taken randomly. O This is an observational study, since it applies to female Hispanic drivers alone. PLAN: To examine whether the null hypothesis is true we should test the hypotheses: O Họ: PI = P, versus H: Pi # P2 O Ho: PI = P versus H: Pi < P2 O Ho: Pi + P2 versus H: Pi = P2 O Ho: Pi = P versus H: Pi > P2 SOLVE: Assume the samples can be thought of as an SRS. We can conduct a hypothesiss test since there are more than five successes (correctly identified the pairs) and more than five failures in each sample. Calculate p. P, and p. (Enter your answers rounded to four decimal places.)
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