You are a member of a team studying the automobile industry. One phase of your investigation is to develop an interval estimate of the proportion of automobile-parts suppliers that are unionized.
You select a random sample, your teammate selects her own random sample to be the same size as yours, and both of you choose the same confidence coefficient.
Think about plotting both your interval estimate and your teammate's interval estimate on a number line and then comparing where they sit and their widths.
1) Being as specific as you can, which of the following statements best describes where the intervals sit on the number line?
a. Your teammate's interval is centered at a lower value than yours.
b. They are centered at the same value.
c. Your teammate's interval is centered at a higher value than yours.
d. They are centered at different values.
2) Being as specific as you can, which of the following statements best describes the widths of the the two intervals?
a. They are the same width.
b. They are not the same width.
c. Your teammate's interval is wider than yours.