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Chapter 9: Q. 61. (page 584)
The standardized test statistic for a test of versus isThis test is
a. not significant at either or
b. significant at but not at
c. significant atbut not at
d. significant at both and
e. inconclusive because we don’t know the value of
The test is significant at and
The correct option is
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Restaurant power Refer to Exercise Determine if each of the following changes would increase or decrease the power of the test. Explain your answers.
a. Use a random sample of people instead of people.
b. Try to detect that instead of
c. Change the significance level to
Fire the coach!A college president says, “More than two-thirds of the alumni support my firing of Coach Boggs.” The president’s statement is based on emails he has received from alumni in the past three months. The college’s athletic director wants to perform a test of versus , where = the true proportion of the college’s alumni who favor firing the coach. Check if the conditions for performing the significance test are met.
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.
Fonts and reading ease Does the use of fancy type fonts slow down the reading of text on a computer screen? Adults can read four paragraphs of a certain text in the common Times New Roman font in an average time of 22 seconds. Researchers asked a random sample of 24 adults to read this text in the ornate font named Gigi. Here are their times (in seconds):
Do these data provide convincing evidence that it takes adults longer than 22 seconds, on average, to read these four paragraphs in Gigi font?
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)
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