Quitets @ Ch beby ¥ FOOD v v Nemix ment Submission s assignment, you submlt answ
ID: 3050466 • Letter: Q
Question
Quitets @ Ch beby ¥ FOOD v v Nemix ment Submission s assignment, you submlt answers by questions ment Scoring est submission for each entire question is used for your score. At a university, 61% of the 7400 students are female. The student newspaper reports results of a srveyof a random sample o so students about van us topes i e ir ak hal abuse seas 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 - O for a male. (a) Show the population distribution of gender at this university. (Use two decimal places.) GenderXProbability Female 1 Male 0 (b) Show the data distribution of gender for this sample. (Use two decimal places Gender XProportion Pemale 1 Male 0 e) Consider the sampling distribution of the sample proportion of females in samples of size s0. State the mean and standard error for this sampling distribution. Mean (2 decimal places) Standard error- (3 decimal places) MacBook AirExplanation / Answer
(a) Female = 0.61.
Male = 1 - 0.61 = 0.39.
(b) Female = 26/50 = 0.52.
Male = 1 - 0.52 = 0.48.
(c) Mean = sample proportion of females = 0.52.
Standard error = square root of [(0.52)(1-0.52)/50] = 0.071.
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