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In the past, 35% of the students at ABC University were in theBusiness College, 35% of the students were in theLiberal Arts College, and 30% of the students were in theEducation College. To seee whether or not the proportions havechanged, a sample of 300 students was taken. Ninety of the samplestudents are in the Business College, 120 are in theLiberal Arts College, and 90 are in the EducationCollege.
This problem is an example of a

a.) normallydistributed variable
b.)test for independence
c.)Poisson distributed vaiable
d.)multinominal population

Answer :

Answer:

The problem is an example of d.) multinomial population

Step-by-step explanation:

A multinomial distribution is type of probability distribution that describes the distribution of more than two variables.

The properties of a multinomial distribution are:

  • There are n independent and repeated trials.
  • Each trial has two outcomes: Success of Failure.
  • Each outcome of a trial is same.

In the case provided the variables are:

X = number of students in Business college

Y = number of students in Arts college

Z = number of students in Arts college.

The researcher wants to know if the proportion of the variables X, Y and Z has changed or not.

This is an example of multinomial distribution and the population is a multinomial population.

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