Asked by Maureen Doyle-Barakat on May 21, 2024

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In 2015, approximately 136,943,000 people visited an emergency room in the United States.Of these, approximately 12,263,000 were subsequently admitted to the hospital.Determine an interval with 99% confidence for the number (how many) of people visiting an emergency room who were subsequently admitted to the hospital.

A) 1,097,434 to 1,098,826
B) 1,097,543 to 1,098,716
C) 1,098,129 to 1,098,129
D) 1,097,359 to 1,098,900

Confidence Interval

A range of values, derived from the statistics of observed data, that is likely to contain the value of an unknown population parameter.

  • Familiarize oneself with the approach to determining a confidence interval for a population proportion.
  • Gain proficiency in implementing confidence intervals in practical real-world situations.
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Sehajvir SinghMay 26, 2024
Final Answer :
D
Explanation :
The confidence interval for a proportion can be calculated using the formula for a binomial proportion confidence interval. Given the total number of ER visits (136,943,000) and the number of those admitted (12,263,000), we can calculate the proportion of visits that led to an admission and then apply the formula for a 99% confidence interval. The exact numbers (1,097,359 to 1,098,900) are derived from applying this statistical method, taking into account the large sample size and the proportion of interest. The other options do not correctly apply the statistical methods for calculating a confidence interval for a proportion.