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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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A random sample of 100 likely voters in a small city produced 59 voters in favor of Candidate A. The observed value of the standardized test statistic for performing a test of
is which of the following?
a)
b)
c)
d)
e)
A significance test allows you to reject a null hypothesis in favor of an alternative hypothesisat the significance level. What can you say about significance at thelevel?
a.can be rejected at thesignificance level.
b. There is insufficient evidence to rejectat thesignificance level.
c. There is sufficient evidence to accept at the significance level.
d.can be rejected at the significance level.
e. The answer can't be determined from the information given.
Upscale restaurant You are thinking about opening a restaurant and are searching for a good location. From the research you have done, you know that the mean income of those living near the restaurant must be over to support the type of upscale restaurant you wish to open. You decide to take a simple random sample of people living near one potential site. Based on the mean income of this sample, you will perform a test at the
significance level of versus , where is the true mean income in the population of people who live near the restaurant. The power of the test to detect that is Interpret this value.
You are testing against based on an SRS of
observations from a Normal population. What values of the t statistic are statistically significant at the level?
Heavy bread? The mean weight of loaves of bread produced at the bakery where you work is supposed to be pound. You are the supervisor of quality control at the bakery, and you are concerned that new employees are producing loaves that are too light. Suppose you weigh an SRS of bread loaves and find that the mean weight is pound.
a. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest.
b. Explain why there is some evidence for the alternative hypothesis.
c. The P-value for the test in part (a) is . Interpret the P-value.
d. What conclusion would you make at the significance level?
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