In a study of Europeans from a variety of professions were asked if they considered themselves left-handed, right-handed, or ambidextrous. The results are given. a) Test for an association between handedness and career for these five professions. Note: Ambidextrous is considered a type of handedness so you should use all 5 rows and 3 columns for this work. 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. b)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.  Profession Right Left Ambidextrous Total Psychiatrist 101 10 7 118 Architect 115 26 7 148 Orthopedic Dr 121 5 6 132 Lawyer 83 16 6 105 Dentist 116 10 6 132 Total 536 67 32 635

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.