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Chapter 2: Problem 14

A petition with 500 signatures is submitted to a university's student council. The council president would like to determine the proportion of those who signed the petition who are actually registered students at the university. There is not enough time to check all 500 names with the registrar, so the council president decides to select a simple random sample of 30 signatures. Describe how this might be done.

Short Answer

Expert verified
First, number all 500 signatures from 1 to 500. Then, use a random number generator to produce 30 unique numbers within this range. The signatures corresponding to these numbers make up your simple random sample.

Step by step solution

01

Understand the problem

In this problem, a petition with 500 signatures is presented and it is required to check the proportion of those signatures that belong to registered students. Because it's impractical to check all 500, a simple random sample of 30 signatures needs to be collected.
02

Determine the method of simple random sampling

Simple random sampling is a basic type of sampling method where every individual has an equal chance of being selected. This method can take many forms; however, in this case, it can be done by assigning each signature a unique number between 1 and 500.
03

Carry out the simple random sampling

Once the numbering is done, use a random number generator to provide 30 unique numbers within the range of 1 to 500. The signatures corresponding to these 30 unique numbers represent a simple random sample of the petition.

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