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Chapter 2: Problem 11

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
To select a simple random sample of 30 signatures, assign each of the 500 signatures a unique number from 1 to 500. Then use a random number generator to select 30 numbers within this range. The signatures corresponding to the selected numbers form the simple random sample.

Step by step solution

01

Understanding the concept of Simple Random Sample

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. This is done to get a fair representation of the total population, and to ensure that the analysis isn't biased. In this case, each of 500 signatures has the same chance to be included in the sample of 30.
02

Selecting the random sample

One way to choose a random sample would be to assign a unique number to each individual in the population. In this case, the unique number could be assigned to each of the 500 signatures. The numbers could be from 1 to 500.
03

Drawing the Random Sample

After assigning the numbers, use a random number generator to select 30 numbers between 1 and 500. Each random number corresponds to a signature in the population. The 30 random numbers chosen represent the sample of 30 signatures to be checked with the registrar.

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