Chapter 11: Q.11.7 (page 459)
For what is the phrase "number of failures" an abbreviation?
The number of failures refers to the number of people chosen from a sample without a specific attribute.
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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.
Use your result from Exercise to show that a level confidence interval for the difference between two population proportions that has a margin of error of at most can be obtained by choosing
rounded up to the nearest whole number.
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.
a. Determine the sample proportion.
b. Decide whether using the one-proportion test is appropriate.
c. If appropriate, use the one-proportion test to perform the specified hypothesis test.
In this Exercise, we have given the number of successes and the sample size for a simple random sample from a population. In each case,
a. use the one-proportion plus-four -interval procedure to find the required confidence interval.
b. compare your result with the corresponding confidence interval found in Exercises , if finding such a confidence interval was appropriate.
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