Consider the following statements. Determine if the statement is true or false. I. As the sample size increases, the confidence interval decreases.

II. If the sample size does not change and we want to increase the confidence level, the margin of error must increase.

III. The smaller the confidence interval, the more confidence we have that it contains all of the data values.

IV. If the margin of error does not change, and we want to increase the confidence level, the sample size must decrease.

V. If we want to decrease the confidence level, and the margin of error does not change, the sample size must decrease.