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1. A radio station wants to know if residents in their area are in favor of a proposed tax increase. They invite listeners to call in to respond to the poll. 645 of the 800 who responded were against the tax. The station calculated a 95% confidence interval and declared "Between 77.9% and 83.4% of residents oppose the new tax."
A. This is a valid interval, so the station must be right.B. We can't say for certain that between 77.9% and 83.4% of residents oppose the new tax because it is a 95% confidence interval.C. Because of the way the poll was conducted, the results are invalid.
2. I want to construct a 92% confidence interval. The correct z* to use is
A. 1.75.B. 1.41.C. 1.645.
3. Several years ago, some researchers at my university asked me to recheck the statistics on a paper they were writing about the impacts of a group of new science courses. They had performed 63 statistical tests on their data at = 5%, and had found 4 "significant" results. They were excited. Should they have been?
A. Yes - this could be important.B. Maybe - depends on the actual results.C. No - too many tests were done.
Below is a plot of the Olympic gold medal winning performance in the high jump (in inches) for the years 1900 to 1996.
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