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What proportion of all Medical School applicants are actually accepted to Medical School? Erica and Leon each want to estimate this population proportion. Erica surveys

  1. What proportion of all Medical School applicants are actually accepted to Medical School? Erica and Leon each want to estimate this population proportion. Erica surveys random sample of 300 Medical School applicants and finds that the proportion in her sample who were accepted to Medical School is 0.43. Leon surveys a different random sample of 900 Medical School applicants and finds that the proportion in his sample who were accepted to Medical School is also 0.43. If Erica and Leon each construct a 95% confidence interval based on their sample data, which interval will be wider?

  1. Both intervals will have the same width because the sample proportions are the same.
  2. Both intervals will have the same width because the confidence levels are the same.
  3. Both intervals will have the same width because the sample proportions and the confidence levels are the same for each interval.
  4. Erica's interval will be wider.
  5. Leon's interval will be wider.

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