From the seven hospitals in a city, a researcher wants to sample three hospitals for the purpose of cestimating the proportion of current patients who have been (or will be) in the hospital for more than two consecutive days. Because the hospitals vary in size, they will be sampled with probabilities proportional to their numbers of patients. For the three sampled hospitals, 10% of the records of current patients will be examined to determine how many patients will stay in the hospital for more than two days. If the numbers of patients in the seven hospitals are (330, 120, 430, 220, 280, 190, 170), a) Select a sample of three hospitals with probabilities proportional to number of patients. b) Suppose the sampled hospitals in part (a) yield the following data (30, 70, 105) respectively, on number of patients staying more than two days. Estimate the proportion of patients staying more than two days, for all seven hosnitals and place
From the seven hospitals in a city, a researcher wants to sample three hospitals for the purpose of cestimating the proportion of current patients who have been (or will be) in the hospital for more than two consecutive days. Because the hospitals vary in size, they will be sampled with probabilities proportional to their numbers of patients. For the three sampled hospitals, 10% of the records of current patients will be examined to determine how many patients will stay in the hospital for more than two days. If the numbers of patients in the seven hospitals are (330, 120, 430, 220, 280, 190, 170), a) Select a sample of three hospitals with probabilities proportional to number of patients. b) Suppose the sampled hospitals in part (a) yield the following data (30, 70, 105) respectively, on number of patients staying more than two days. Estimate the proportion of patients staying more than two days, for all seven hosnitals and place
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:From the seven hospitals in a city, a researcher wants to sample three hospitals
for the purpose of estimating the proportion of current patients who have been (or will be) in the hospital for
more than two consecutive days. Because the hospitals vary in size, they will be sampled with probabilities
proportional to their numbers of patients. For the three sampled hospitals, 10% of the records of current
patients will be examined to determine how many patients will stay in the hospital for more than two days. If
the numbers of patients in the seven hospitals are (330, 120, 430, 220, 280, 190, 170),
a) Select a sample of three hospitals with probabilities proportional to number of patients.
b) Suppose the sampled hospitals in part (a) yield the following data (30, 70, 105) respectively, on number
of patients staying more than two days. Estimate the proportion of patients staying more than two days,
for all seven hospitals and place a bound on the error of estimation.
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