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.