Chapter 11: Q.5 (page 480)
What does the margin of error for the estimate of a population proportion tell you?
Short Answer
The margin of error is equal to half of the sureness (confidence) interval's length.
Chapter 11: Q.5 (page 480)
What does the margin of error for the estimate of a population proportion tell you?
The margin of error is equal to half of the sureness (confidence) interval's length.
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Racial Crossover. In the paper "The Racial Crossover in Comorbidity, Disability, and Mortality" (Demography, Vol. 37(3), pp. 267-283), N. Johnson investigated the health of independent random samples of white and African-American elderly (aged 70 years or older). Of the 4989 white elderly surveyed, 529 had at least one stroke, whereas 103 of the 906 African-American elderly surveyed - Lported at least one stroke. At the significance level, do the data suggest that there is a difference in stroke incidence between white and African-American elderly?
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a. At the1% significance level, do the data provide sufficient evidence to conclude that levofloxacin is effective in reducing the occurrence of fever in such patients?
b. Find a98% confidence level for the difference in the proportions of such cancer patients who would experience fever for the duration of neutropenia
Life Support. In , the Terri Schiavo case focused national attention on the issue of withdrawal of life support from terminally ill patients or those in a vegetative state. A Harris Poll of U.S. adults was conducted by telephone on April , Of those surveyed, had experienced the death of at least one family member or close friend within the last years who died after the removal of life support. Find and interpret a confidence interval for the proportion of all U.S. adults who had experienced the death of at least one family member or close friend within the last years after life support had been withdrawn.
Margin of error
Confidence level
Educated guess
(a) Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from that of the educated guess.
(b). Compare your answer to the corresponding one and explain the reason for the difference, if any.
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