Answer Happy

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. Gender is a categorical variable. To set up a probability distribution where the random variable X represents gender, Let X = 1 for a female and let X = 0 for a male. (a) Show the population distribution of gender at this university. (Use two decimal places.) Gender Probability Female 0.52 X Male 0.48 X (b) Show the data distribution of gender for this sample. (Use two decimal places.) Gender Proportion Female 26 X Male 24 X (c) Consider the sampling distribution of the sample proportion of females in samples of size 50. State the mean and standard deviation for this sampling distribution. Mean = 0.52 X (2 decimal places) Standard deviation = 0.1 X (3 decimal places)