'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
118
Architect
115
26
148
Orthopedic Surgeon Lawyer
121
5
6
132
83
16
6
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.'