In a study of Americans from a variety of professions were asked if they considered themselves left-handed, right-handed, or ambidextrous. The results are given below: Profession Right Left Ambidextrous Total Psychiatrist 101 10 7 118 Architect 115 26 7 148 Orthopedic Surgeon 121 6. 132 Lawyer 83 16 105 Dentist 116 10 6 132 Total 536 67 32 635 a) Amongst Americans, 10% of the population is left-handed. Is there enough evidence from this data to show that more than 10% of those in these professions are left-handed? Make sure you show all the steps of this test. b) Construct and interpret the 99% confidence interval for the proportion of Americans who are ambidextrous, based on this sample. c) Is there enough evidence to conclude that proportion of left-handed orthopedic surgeons is less than the proportion of left-handed architects? Make sure you show all the steps of the test.
In a study of Americans from a variety of professions were asked if they considered themselves left-handed, right-handed, or ambidextrous. The results are given below: Profession Right Left Ambidextrous Total Psychiatrist 101 10 7 118 Architect 115 26 7 148 Orthopedic Surgeon 121 6. 132 Lawyer 83 16 105 Dentist 116 10 6 132 Total 536 67 32 635 a) Amongst Americans, 10% of the population is left-handed. Is there enough evidence from this data to show that more than 10% of those in these professions are left-handed? Make sure you show all the steps of this test. b) Construct and interpret the 99% confidence interval for the proportion of Americans who are ambidextrous, based on this sample. c) Is there enough evidence to conclude that proportion of left-handed orthopedic surgeons is less than the proportion of left-handed architects? Make sure you show all the steps of the test.
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Author:Amos Gilat
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
Transcribed Image Text:In a study of Americans from a variety of professions were asked if they
considered themselves left-handed, right-handed, or ambidextrous. The results
are given below:
Profession
Right
Left
Ambidextrous
Total
Psychiatrist
101
10
7
118
Architect
115
26
7
148
Orthopedic Surgeon
121
5
132
Lawyer
83
16
105
Dentist
116
10
132
Total
536
67
32
635
a) Amongst Americans, 10% of the population is left-handed. Is there enough
evidence from this data to show that more than 10% of those in these
professions are left-handed? Make sure you show all the steps of this test.
b) Construct and interpret the 99% confidence interval for the proportion of
Americans who are ambidextrous, based on this sample.
c) Is there enough evidence to conclude that proportion of left-handed
orthopedic surgeons is less than the proportion of left-handed architects?
Make sure you show all the steps of the test.
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