According to asurvey, 57% of males between the ages of 18 and 24 lived at home in 2005(unmarried college students living in dorms are counted as living athome). A survey is administered at a community college to 19 randomly selected male students between the ages of 18 and 24years, and 16 of them respond that they live at home.
(a) Based on the sample of 19 students, what proportion of community college males live athome?
(b) Find the probability that 16 or more out of 19 community college male students live athome, assuming that the proportion who live at home is 57%.
(c) What might you conclude from thisresult?