Please do all your work on this test. Use a PENCIL; do not use a pen. Write in complete sentences and express yourself clearly. Be precise, yet concise.
Use the extra sheets at the end of the test if you need extra space. Be sure to label your work on the extra sheets with the problem number it goes with.
Good luck! Do a good job!
Percent of Yes in Population | Number of People in a Sample | Number of Samples Drawn | % of Sample Percents within 1 Percentage Point of Population % | % of Sample Percents within 2 Percentage Points of Population % | % of Sample Percents within 3 Percentage Points of Population % | % of Sample Percents within 4 Percentage Points of Population % |
65% | 500 | 2500 | 36.7% | 64.5% | 84.8% | 91.5% |
32% | 500 | 2000 | 37.1% | 65.8% | 83.9% | 91.1% |
57% | 500 | 6800 | 36.2% | 64.9% | 84.2% | 91.3 |
60% | 500 | 5500 | 36.1% | 65.2% | 84.3% | 91.4% |
Stan said that the margin of error being 4% means that between 32% and 40% of TN voters believe an income tax is necessary.
Is Stan's interpretation a good one? If so, explain. If not, what should it be?
If statistical claims about populations are typically made on the basis of collecting a single sample, why have we spent so much time in class discussing simulations of drawing thousands of samples?