1. 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 givenbelow: Profession RightLeftAmbidextrous Total Psychiatrist 101 10 7 118 Architect 115 26 148 121Orthopedic Surgeon 132 6 Lawyer 83166 105 Dentist 116 10 132 6 Total 635 53667 32 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 ofAmericans who are ambidextrous, based on this sample. of handed orthopedicsurgeons is