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Chapter 11: Q. 11.115 (page 477)
Buckling Up. Refer to Exercise and find and interpret a confidence interval for the difference between the proportions of seat-belt users for drivers in the age groups years and 25-69 years.
There is interval for the difference between the proportion is (-0.0937,-0.0063)
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We have given a likely range for the observed value of a sample proportion
a. Based on the given range, identify the educated guess that should be used for the observed value of to calculate the required sample size for a prescribed confidence level and margin of error.
b. Identify the observed values of the sample proportion that will yield a larger margin of error than the one specified if the educated guess is used for the sample-size computation.
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experienced the death of at least one family member or close friend within the last years after life support had been withdrawn.
The Nipah Virus. During one year, Malaysia was the site of an encephalitis outbreak caused by the Nipah virus, a paramyxovirus that appears to spread from pigs to workers on pig farms. As reported y K. Goh et al. in the paper "Clinical Features of Nipah Virus Ėncephalitis among Pig Farmers in Malaysia" (New England Journal of Medicine, Vol. 342, No. 17, pp. 1229-1235), neurologists from the University of Malaysia found that, among patients infected with the Nipah virus, died from encephalitis. Find and interpret a confidence interval for the percentage of Malaysians infected with the Nipah virus who would die from encephalitis.
Asthmatics and Sulfites. In the article "Explaining au Unusual Allergy, " appearing on the Everyday Health Network, Dr. A. Feldweg explained that allergy to sulfites is usually seen in patients with asthma. The typical reaction is a sudden increase in asthma symptoms after eating a food containing sulfites. Studies are performed to estimate the percentage of the nation's million asthmatics who are allergic to sulfites. In one survey, of randomly selected U.S. asthmatics were found to be allergic to sulfites. Find and interpret a confidence interval for the proportion, , of all U.S. asthmatics who are allergic to sulfites.
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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