According to a survey, 55% of males between the ages of 18 and 24 lived at home

Question

According to a survey, 55% of males between the ages of 18 and 24 lived at home in 2005 (unmarried college students living in dorms are counted as lving at home). A survey is administered at a community college to 19 randomly selected male students between the ages of 18 and 24 years, and 16 of them respond that they live at home (a) Based on the sample of 19 students, what proportion ofcommunity college males live at home? (b) Find the probability that 16 or more out of 19 community college male students live at home, assuming that the proportion who at home is 55%, is 9 (Round to four decimal places as needed (c) What might you conclude from this result? Click to select your answers) aGer

Explanation / Answer

a. Based on the sample of 19 students, proportion of community college males live at home = 16/19 = 0.84

b. Here Expected number of males living at home = 19 * 0.55 = 10.45

so P( N> = 16; 10.45) = ?

it will be cauculated with the help of bionomial distribution

P( N> = 16; 10.45) = 0.0077

c. This result is unusual because it is less than 0.05. Community college enrolment appears to be a factor that increases the likelihood of living at home.(option b)

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