You are a member of a team studying the automobile industry

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 and your teammate work with the same sample. Your teammate chooses a larger confidence level than yours. 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. Being as specific as you can, which of the following statements best describes where the intervals sit on the number line? Being as specific as you can, which of the following statements best describes the widths of the two intervals?

Solution

1.

As you have the same data set, then they must have the same center:

OPTION C: They are centered at the same value. [ANSWER]

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2.

As your teammate has a larger confidence level, then he must have a wider confidence interval, as the critical z score increases with increasing confidence level.

Thus,

OPTION B: Your teammate\'s interval is wider than yours. [ANSWER]