You\'d like to estimate the proportion of the 12, 164 full-time undergraduate st

Question

You'd like to estimate the proportion of the 12, 164 full-time undergraduate students at a university who are foreign students. You poll a random sample of 50 students, of whom 3 are from foreign countries. Unknown to you, the proportion at as undergraduate students who are foreign students is 0.04. Let X denote a random variable for which x = 1 denotes foreign students and x = 0 denotes students from the U S. Complete parts (a) through (c). a. Describe the data distribution. The data distribution consists of 1's (denoting a foreign student) and 0's (denoting a student from the U.S.) b. Describe the population distribution. The population distribution consists of the x-values of the population of 12, 164 full-time undergraduate students at the university, % of which are (denoting a foreign student) and % of which ore 0's (denoting a student from the U.S.). c. Find the mean and standard deviation of the sampling distribution of the sample proportion for a sample of size 50. The mean is The standard deviation is (Round to four decimal places as needed.) True or False: All the assumptions are met to apply the Central Limit Theorem and conclude that the sampling distribution of the sample proportion is normal. True False

Explanation / Answer

a) 3 1's and 47' 0s

b)4% of whcih are 1's and 96% are 0's

c) mean =np=0.04*50=2

std deviation =(np(1-p))1/2 =1.3856

no as np<10

hence false

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