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Chapter 8: Q 2. (page 506)
Got shoes? The class in Exercise 1 wants to estimate the variability in the number of pairs
of shoes that female students have by estimating the population standard deviation .
The standard deviation is
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More weight loss Refer to Exercise . Interpret the confidence level.
The Gallup Poll interviews 1600 people. Of these, 18% say that they jog regularly. The news report adds: 鈥淭he poll had a margin of error of plus or minus three percentage points at a 95% confidence level.鈥� You can safely conclude that
a. 95% of all Gallup Poll samples like this one give answers within 卤3% of the true population value.
b. the percent of the population who jog is certain to be between 15% and 21%.
c. 95% of the population jog between 15% and 21% of the time.
d. we can be 95% confident that the sample proportion is captured by the confidence interval.
e. if Gallup took many samples, 95% of them would find that 18% of the people in the sample jog.
Starting a nightclub A college student organization wants to start a nightclub for students under the age of To assess support for this proposal, they will select an SRS of students and ask each respondent if he or she would patronize this type of establishment. What sample size is required to obtain a confidence interval with a margin of error of at most ?
It鈥檚 about ME Explain how each of the following would affect the margin of error of a confidence interval, if all other things remained the same.
a. Increasing the confidence level
b. Quadrupling the sample size
September 11 A recent study asked U.S. adults to name historic events that occurred in their lifetime that have had the greatest impact on the country. The most frequently chosen answer was the September , terrorist attacks, which was included by of the randomly selected U.S. adults. Construct and interpret a confidence interval for the proportion of all U.S. adults who would include the attacks on their list of historic events.
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