14.2k views
0 votes
You decide to increase your Utah county coronavirus sample to 10 counties and estimate the same sample standard deviation you did with your sample of 5 counties. This will ______________ the margin of error associated with your 90% confidence interval.

1 Answer

5 votes

Answer:

This will decrease the margin of error associated with your 90% confidence interval.

Explanation:

Margin of error:

The margin of error of a confidence interval is given by a formula that follows the following format:


M = z(s)/(√(n))

In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.

From the formula:

M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.

In this question:

Sample size increases from 5 to 10, so the margin of error decreases.

User Humilton
by
7.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories