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In: Statistics and Probability

In a study of Americans from a variety of professions were asked if they considered themselves...

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.

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