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Mathematics, 07.03.2020 04:10 abdulspy786
You'd like to estimate the proportion of the 12,152 full-time undergraduate students at a university who are foreign students. You poll a random sample of 50 students, of whom 7 are from foreign countries. Unknown to you, the proportion of all undergraduate students who are foreign students is 0.06.
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 12,152 full-time undergraduate students at theuniversity, ( )% of which are 1's (denoting a foreign student) and ( )% of which are 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 asneeded.)
Explain what this sampling distribution represents.
The sampling distribution represents the probability distribution of the ( ) proportion of foreign students in a random sample of ( )students. In thiscase, the sampling distribution is approximately normal with a mean of ( ) and a standard deviation of ( )
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