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BES 220 Assignment 4 2020

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09/10/2020 Assignment 4 - Inference for categorical variables




Assignment 4 - Inference for
categorical variables
Click on a question number to see how your answers were marked and, where
available, full solutions.

Question Number Score
Question 1 14 / 28
Question 2 5 / 11
Question 3 4 / 12
Question 4 13 / 18
Total 36 / 69 (52%)



Performance Summary
Exam Name: Assignment 4 - Inference for categorical variables
Session ID: 02578490643
Student's Name: K (Katarina) Djordjevic (011cdd57506642ec949f60ac53aa58da)
Exam Start: Fri Oct 09 2020 20:47:30
Exam Stop: Fri Oct 09 2020 22:14:21
Time Spent: 1:26:50




Question 1
We are interested in estimating the proportion of graduates at a mid-sized university who
found a job within one year of completing their undergraduate degree. Suppose we conduct
a survey on current graduate students, and find out that 113 of 225 randomly sampled
graduate students found jobs. The graduate class under consideration included over
18420 students. Answer the following questions, and where applicable and unless otherwise
stated, round and give your answers to two decimal places.




https://numbas.up.ac.za/run_attempt/84821?resource_link_id=_2035663_1 1/15

, 09/10/2020 Assignment 4 - Inference for categorical variables

a)
What is the value of the point estimate of this parameter?

Expected answer: 0.50
0.50 

 Your answer is correct. You were awarded 2 marks.
You scored 2 marks for this part.

Score: 2/2 


b)
What is the population parameter of interest?

The number of students to use in the sample.

The proportion of students sampled who found a job.

All students at the university.

The number of students sampled who found a job.

The true proportion of graduate students at the university who found a job.

The true number of graduate students at the university who found a job.



You chose an incorrect answer.
You scored 0 marks for this part.

Score: 0/1 


c)
Which of the following conditions, or part of a condition, for constructing a confidence
interval based on these data are met? Select all (4) correct options, but note that
incorrect options selected are negatively marked.

More than 10 graduate students were included in the sample.

L th 10% f d t t d
https://numbas.up.ac.za/run_attempt/84821?resource_link_id=_2035663_1 t did t fi d j b 2/15

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