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...


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

Extracted 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.

Jun 11, 2022
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