In: Statistics and Probability
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 6 132  | 
| 
 Lawyer 83 16 6 105  | 
| 
 Dentist 116 10 6 132  | 
| 
 Total 536 67 32 635  | 
1. Test for an association between handedness and career for these five professions. What do you conclude at the 5% significance level? What do you conclude at the 1% confidence level? Make sure you show all the steps.
2. Can we conclude, at the 5% significance level, that left-handedness is equally distributed among the five professions? Make sure you show all the steps.