According to a study, 63% 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 153 of 238 respondents indicated that they live at home. (a) Use the normal approximation to the binomial to approximate the probability that at least 153 respondents live at home. (b) Do the results from part (a) contradict the study?

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