| I collect a random sample of size n from a population and from the data collected compute a 95% confidence interval for the proportion I observe from the population. Which of the following would produce a new confidence interval with smaller width (smaller margin of error) based on these same data? |
| | Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. | | Nothing can guarantee absolutely that you will get a smaller interval. One can only say the chance of obtaining a smaller interval is 0.05. | | Use a smaller confidence level. | | Use a larger confidence level.
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| I collect a random sample of size n from a population and from the data collected compute a 95% confidence interval for the proportion I observe from the population. Which of the following would produce a new confidence interval with smaller width (smaller margin of error) based on these same data? |
| | Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. | | Nothing can guarantee absolutely that you will get a smaller interval. One can only say the chance of obtaining a smaller interval is 0.05. | | Use a smaller confidence level. | | Use a larger confidence level.
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Use a smaller confidence level. will certainly lead to smaller CI for this same data.
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