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Chapter 9: Q. 1 (page 563)
Mr. Tabor believes that less than of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of students at the school.
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Don't argue Refer to Exercise 2. Yvonne finds that of the students say they rarely or never argue with friends. A significance test yields a -value of Interpret the -value.
Roulette An American roulette wheel has red slots among its slots. To test if a particular roulette wheel is fair, you spin the wheel times and the ball lands in a red slot times. The resulting P-value is
a. Interpret the -value.
b. What conclusion would you make at the level?
c. The casino manager uses your data to produce a confidence interval for p and gets. He says that this interval provides convincing evidence that the wheel is fair. How do you respond
Home computers Jason reads a report that says of U.S. high school
students have a computer at home. He believes the proportion is smaller than at his large rural high school. Jason chooses an SRS of students and finds that have a computer at home. He would like to carry out a test at the significance level of versus , where = the true
proportion of all students at Jason鈥檚 high school who have a computer at home. Check if the conditions for performing the significance test are met.
Better parking A local high school makes a change that should improve student
satisfaction with the parking situation. Before the change, of the school鈥檚 students approved of the parking that was provided. After the change, the principal surveys an SRS of from the more than students at the school. In all, students say that they approve of the new parking arrangement. The principal cites this as evidence that the change was effective.
a. Describe a Type I error and a Type II error in this setting, and give a possible
consequence of each.
b. Is there convincing evidence that the principal鈥檚 claim is true?
Losing weight A Gallup poll found that 59% of the people in its sample said 鈥淵es鈥� when asked, 鈥淲ould you like to lose weight?鈥� Gallup announced: 鈥淔or results based on the total sample of national adults, one can say with 95% confidence that the margin of (sampling) error is 卤3 percentage points.鈥�12 Based on the confidence interval, is there convincing evidence that the true proportion of U.S. adults who would say they want to lose weight differs from 0.55? Explain your reasoning
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