Question

At a university, 61% of the 7400 students are female. The student newspaper reports results of a survey of a random sample of 50 students about various topics involving alcohol abuse, such as participation in binge drinking. They report that their sample contained 26 females.

(a) Show the population distribution of gender at this university

 

(b) show the data distribution of gender for the sample

 

(c) Consider the sampling distribution of the sample proportion of females in samples of size 50. State the mean and standard error for this sampling distribution.