According to a​ study, 49​% of all males between the ages of 18 and 24 live at home. ​ (unmarried college students living in a dorm are counted as living at​ home.) suppose that a survey is ad

According to a​ study, 49​% of all males between the ages of 18 and 24 live at home. ​ (unmarried college students living in a dorm are counted as living at​ home.) suppose that a survey is administered and 123 of 235 respondents indicated that they live at home.​ (a) use the normal approximation to the binomial to approximate the probability that at least 123 respondents live at​ home? (b) do the results from part​ (a) contradict the​ study?