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Chapter 8: Q.3 (page 481)
Going to the prom Tonya wants to estimate what proportion of the seniors in her school plan to attend the prom. She interviews an SRS of of the seniors in her school and finds that plan to go to the prom
The sample proportion is.
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A quality control inspector will measure the salt content (in milligrams) in a random sample of bags of potato chips from an hour of production. which of the following would result in the smallest margin of error in estimating the mean salt content ?
(a) confidence; .
(b) confidence; .
(c) confidence; .
(d) confidence; .
(e) at any confidence level.
Prayer in school A New York Times/CBS News Poll asked the question, 鈥淒o you favor an amendment to the Constitution that would permit organized prayer in public schools?鈥� Sixty-six percent of the sample answered 鈥淵es.鈥� The article describing the poll says that it 鈥渋s based on telephone interviews conducted from Sept. 13 to Sept. 18 with adults around the United States, excluding Alaska and Hawaii. . . . The telephone numbers were formed by random digits, thus permitting access to both listed and unlisted residential numbers.鈥� The article gives the margin of error for a confidence level as percentage points.
(a) Explain what the margin of error means to someone who knows little statistics.
(b) State and interpret the 95% confidence interval.
(c) Interpret the confidence level.
2K10 begins In January , a Gallup Poll asked a random sample of adults, "In general, are you satisfied or dissatisfied with the way things are going in the United States at this time?" In all, said that they were sitisfied and the remaining said they were not. Construct and interpret aconfidence interval for the proportion of adults who are satisfied with how things are going. Follow the four-step process.
Power lines and cancer Does living near power lines cause leukemia in children? The
National Cancer Institute spent 5 years and million gathering data on this question. The researchers compared children who had leukemia withwho did not. They went into the homes and actually measured the magnetic fields in children's bedrooms, in other rooms, and at the front door. They recorded facts about power lines near the family home and also near the mother's residence when she was pregnant. Result: no connection between leukemia and exposure to magnetic fields of the kind produced by power lines was found.
(a) Was this an observational study or an experiment? Justify your answer.
(b) Does this study show that living near power lines doesn't cause cancer? Explain.
Election polling Gloria Chavez and Ronald Flynn are the candidates for mayor in a large city. We want to estimate the proportion of all registered voters in the city who plan to vote for Chavez with % con铿乨ence and a margin of error no greater than . How large a random sample do we need? Show your work.
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