Chapter 11: Q.11.3 (page 459)
Is a population proportion a parameter or a statistic? What about a sample proportion? Explain your answers.
Short Answer
Population proportion is a parameter.
Sample proposition is a statistic.
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Chapter 11: Q.11.3 (page 459)
Is a population proportion a parameter or a statistic? What about a sample proportion? Explain your answers.
Population proportion is a parameter.
Sample proposition is a statistic.
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Literate Adults. Suppose that you have been hired to estimate the percentage of adults in your state who are literate. You take a random sample of adults and find that are literate. You then obtain a confidence interval of
or to . From it you conclude that you can be confident that the percentage of all adults in your state who are literate is somewhere between and . Is anything wrong with this reasoning?
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experienced the death of at least one family member or close friend within the last years after life support had been withdrawn.
11.97 Sunscreen Use. Industry Research polled teenagers on sunscreen use. The survey revealed that of teenage girls and of teenage boys regularly use sunscreen before going out in the sun.
a. Identify the specified attribute.
b. Identify the two populations.
c. Are the proportions and sample proportions or population proportions? Explain your answer.
Why is statistical inference generally used to obtain information about a population proportion?
Random drug testing. A Harris Poll asked Americans whether state should be allowed to conduct random drug tests on elected officials, of respondents, said "yes"
a. Determine the margin of error for a confidence interval.
b. Without doing any calculation, indicate whether the margin of error is large or smaller for a confidence interval. Explain your answer.
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