Question

Prerequisites to this exercise are Exercises . Why do your graphs in parts (c) of those exercises illustrate the impact of increasing sample size on sampling error? Explain your answer.

Short answer

It can be seen from the findings of Exercises $11.9-11.13$that as the sample size grows, the sample percentage approaches the population proportion.

This is in line with the inverse relationship between sample size and margin of error, which states that as the sample size grows, the margin of error/sampling error shrinks.

Step-by-step solution

Concept introduction

The sample is a set of records used to estimate statistical information for a target community. The census was used to select a sample size. The method of evaluating a subset of units from the population in order to assess the demographics of the overall nation is termed as sampling.

Explanation

Three males make up the population. Jose, Peter, Carlo, and Gail and Frances, two women. "Female" is the specified attribute.

According to the information provided, the group consists of three men and two women. Being a woman is a specified trait.

It can be seen from the findings of Exercises $11.9-11.13$that as the sample size grows, the sample percentage approaches the population proportion.

This is in line with the inverse relationship between sample size and margin of error, which states that as the sample size grows, the margin of error/sampling error shrinks.

Sample size 1

Sample size 2:

Sample size 3:

Sample size 4:

Sample size 5: