Question

Imagine that you are conducting a poll to determine the percentage of adults who gamble at least once a month. As your sample size increases (let us say from 100 to 400 cases), which of the following becomes true? A)Confidence interval becomes wider

B)Margin of error becomes smaller

C)Amount of sampling error increases

D)Margin of error increases

2)The reason that you would select the option that you did above is due to what is known as _____

Answer 1

B)Margin of error becomes smaller

Explanation:

given that you are conducting a poll to determine the percentage of adults who gamble at least once a month.

when sample size increases we find that n increases.

Standard error = std deviation / square root of n

Since standard error is inversely proportional to square root of n, we find that as n increases standard error decreases.

This results in reduction of margin of error.

So margin of error becomes smaller whenever sample size becomes larger

As a result confidence interval will get narrower.

B)Margin of error becomes smaller

2) The reason that you would select the option that you did above is due to what is known as _____inverse relation between n and margin of error.