To estimate the proportion of students who plan to purchase tickets to an upcoming school fundraiser, a high school decides to sample 100 students as they register for the spring semester. There are 2000 students at the school. Which of the following sampling plans would result in a simple random sample?
A)Number the students from 1 to 2000 and then use random numbers to select 100 students.
B)Survey the first 100 students to register.
C)Randomly select 100 students from a list of the 950 female students at the school.
D)Divide the students into early registrants (the first 1000 to register) and late registrants (the last 1000 to register).Use random numbers to identify 50 of the early registrants and 50 of the late registrants to survey.
E)Select one of the first 20 students to register using a random number table and then select every 20th student to register thereafter.

Question

To estimate the proportion of students who plan to purchase tickets to an upcoming school fundraiser, a high school decides to sample 100 students as they register for the spring semester. There are 2000 students at the school. Which of the following sampling plans would result in a simple random sample? ​
A)Number the students from 1 to 2000 and then use random numbers to select 100 students.
B)Survey the first 100 students to register.
C)Randomly select 100 students from a list of the 950 female students at the school.
D)Divide the students into early registrants (the first 1000 to register) and late registrants (the last 1000 to register).Use random numbers to identify 50 of the early registrants and 50 of the late registrants to survey.
E)Select one of the first 20 students to register using a random number table and then select every 20th student to register thereafter.

Quizplus · Accepted Answer

A simple random sample requires that every member of the population has an equal chance of being selected. Choice A describes a process where each of the 2000 students has an equal chance of being selected, which meets the criteria for a simple random sample.

To Estimate the Proportion of Students Who Plan to Purchase