# Sampling error and sample size

Assume the following data represent a population of 50 values. Values equal

to 1 indicate that a particular attribute is present, a value equal to 0 indicates the attribute is not present.

1 1 1 1 1 1 1 1 0 0

0 1 1 0 0 1 1 1 0 1

0 1 1 1 1 1 1 1 1 0

1 1 1 1 1 1 1 0 1 1

0 1 1 1 1 1 1 1 1 1

a. Compute the population proportion.

b. A random sample of 15 items produced the following numbers: 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0. Compute the sample proportion and the sampling error present in your sample.

c. What is the range of extreme sampling error for a sample of 15 taken from this population?

d. How would the range of extreme sampling error change if the sample size was set to 30? Discuss the advantages of having a larger sample size.

https://brainmass.com/statistics/sample-size-determination/31100

#### Solution Summary

In this solution we show how sampling error is related to sample size when estimating a population proportion.