4. Sample data, sample size, the confidence level, and the confidence interval A

Question

4. Sample data, sample size, the confidence level, and the confidence interval AaAa 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 smaller 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? O They are centered at different values. O They are centered at the same value. O Your teammate's interval is centered at a lower value than yours Your teammate's interval is centered at a higher value than yours. Being as specific as you can, which of the following statements best describes the widths of the two intervals? O Your teammate's interval is wider than yours O Your teammate's interval is narrower than yours O They are not the same width.

Explanation / Answer

1)as sample is same only confidence level is different ; therefore correct option :

they are centered at same value

2) for higher confidence level has higher width

therefore correct option is: your team mate interval is narrower than yours

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