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Chapter 9: Q.5 (page 597)
A random sample of likely voters in a small city produced voters in favor of Candidate A. The observed value of the test statistic for testing the null hypothesis versus the alternative hypothesis is
(b).
(c).
(d).
(e).
The correct answer is (b).
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Which of the following confidence intervals would lead us to reject H0 : in favor of
Ha :p not equal to at the significance level?
Anemia For the study of Jordanian children in Exercise , the sample mean hemoglobin level was mg/dl and the sample standard deviation was mg/dl.
(a) Calculate the test statistic.
(b) Find the P-value using Table . Then obtain a
more precise P-value from your calculator.
Your company markets a computerized device for detecting high blood pressure. The device measures an individual鈥檚 blood pressure once per hour at a randomly selected time throughout a 12-hour period. Then it calculates the mean systolic (top number) pressure for the sample of measurements. Based on the sample results, the device determines whether there is significant evidence that the individual鈥檚 actual mean systolic pressure is greater than 130. If so, it recommends that the person seek medical attention.
(a) State appropriate null and alternative hypotheses in this setting. Be sure to define your parameter.
(b) Describe a Type I and a Type II error, and explain the consequences of each.
(c) The blood pressure device can be adjusted to decrease one error probability at the cost of an increase in the other error probability. Which error probability would you choose to make smaller, and why?
Stating hypotheses State the appropriate null and alternative hypotheses in each of the following cases.
(a) The average height of -year-old American women is inches. You wonder whether the mean height of this year's female graduates from a large local high school (over students) differs from the national average. You measure an SRS of female graduates and find that inches.
(b) Mr. Starnes 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 to help Mr. Starnes test his claim.
- Check conditions for carrying out a test about a population proportion or mean.
- Interpret -values in context.
As part of its 2010 census marketing campaign, the U.S. Census Bureau advertised
鈥�10 questions, 10 minutes鈥攖hat鈥檚 all it takes.鈥� On the census form itself, we read, 鈥淭he
U.S. Census Bureau estimates that, for the average household, this form will take
about 10 minutes to complete, including the time for reviewing the instructions and
answers.鈥� We suspect that the actual time it takes to complete the form may be longer
than advertised.
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