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Chapter 8: Q.3.1 (page 494)
The company鈥檚 customer satisfaction survey.
In the company鈥檚 prior-year survey, 80% of customers surveyed said they were 鈥渟atisfied鈥� or 鈥渧ery satisfied.鈥� Using this value as a guess for p藛, find the sample size needed for a margin of error of 3% at a 95% confidence level.
The sample size is 683
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Define the parameter of interest.
Gambling and the NCAA Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student-athletes concerning their gambling-related behaviors.Of the Division I male athletes in the survey, reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a % margin of error.
(a) The con铿乨ence level was not stated in the report. Use what you have learned to 铿乶d the con铿乨ence level, assuming that the NCAA took an SRS.
(b) The study was designed to protect the anonymity of the student-athletes who responded. As a result, it was not possible to calculate the number of students who were asked to respond but did not. How does this fact affect the way that you interpret the results?
Alcohol abuse has been described by college presidents as the number one problem on campus, and it is an important cause of death in young adults. How common is it? A survey of randomly selected U.S. college students collected information on drinking behavior and alcohol-related problems." The researchers defined "frequent binge drinking" as having five or more drinks in row three or more times in the past two weeks. According to this definition, students were classified as frequent binge drinkers.
1. Identify the population and the parameter of interest.
2. Check conditions for constructing a confidence interval for the parameter.
3. Find the critical value for a 99 \% confidence interval. Show your method. Then calculate the interval.
4. Interpret the interval in context.
How confident? The figure below shows the result of taking SRSs from a Normal population and constructing a confidence interval for each sample. Which confidence level鈥�, or 鈥� do you think was used? 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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