A professor at a large university assigns a project to his class because he is interested to discover what proportion of students at the university are willing to report cheating by other students. One group posed this question to an SRS of 189 undergraduate students, "You witness two students cheating on a quiz. Do you go to the professor?" Only 22 answered "Yes." a) Identify the point estimator you would use. b) Calculate the value of the point estimate. c) Identify the population and parameter of interest.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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A professor at a large university assigns a project to his class because he is interested to discover what proportion of students at the university are willing to report cheating by other students. One group posed this question to an SRS of 189 undergraduate students, "You witness two students cheating on a quiz. Do you go to the professor?" Only 22 answered "Yes."

a) Identify the point estimator you would use.

b) Calculate the value of the point estimate.

c) Identify the population and parameter of interest.

Expert Solution
Step 1

Let X be the number of students at the university who are willing to report cheating by other students.

n=189

a) The point estimator in this case will be the value of proportion p^ that denotes the probability of success in the sample, that is proportion of students that answered "Yes"

b) The value of point estimate is:

p^=22189=0.1164

 

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