An instructor at a major research university occasionally teaches summer session and notices that that there are often students repeating the class. On the first day of class, she counts 105 students enrolled, of which 19 are repeating the class. The university enrolls 15,000 students. An estimate of the population proportion repeating the class is given by:a) 0.0013. b) 0.007. c) 0.181. d) 0.046.

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Mathematics

17 July, 18:17

An instructor at a major research university occasionally teaches summer session and notices that that there are often students repeating the class. On the first day of class, she counts 105 students enrolled, of which 19 are repeating the class. The university enrolls 15,000 students. An estimate of the population proportion repeating the class is given by:a) 0.0013. b) 0.007. c) 0.181. d) 0.046.

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Craig Coleman · Answer 1

c) 0.181.

Step-by-step explanation:

There is a common practice in statistics that we use the estimation from a large sample and expands it to the population.

Suppose i ask 1000 people who reside in Buffalo, New York, if they are Buffalo Bills fans. Suppose 900 say they are. So i can say that 90% of all residents of Buffalo are Bills fans.

In this problem, we have that:

On the first day of class, she counts 105 students enrolled, of which 19 are repeating the class. The university enrolls 15,000 students. An estimate of the population proportion repeating the class is given by:

The proportion of 19 of 105 is expanded to the 15,000 students.

19/105 = 0.181

So the correct answer is:

c) 0.181.