Chapter 11: Q. 6 (page 734)
The category that contributes the largest component to thestatistic is
(a) White.
(c) Hispanic.
(b) Black.
(d) Other.
(e) The answer cannot be determined since this is only a sample.
Short Answer
(c) Hispanic.
Chapter 11: Q. 6 (page 734)
The category that contributes the largest component to thestatistic is
(a) White.
(c) Hispanic.
(b) Black.
(d) Other.
(e) The answer cannot be determined since this is only a sample.
(c) Hispanic.
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Get started for freeMany popular businesses are franchises—think of McDonald’s. The owner of local franchise benefits from brand recognition, national advertising, and detailed guidelines provided by the franchise chain. In return, he or she pays fees to the franchise firm and agrees to follow its policies. The relationship between the local owner and the franchise firm is spelled out in a detailed contract.
One clause that the contract may or may not contain is the entrepreneur’s right to an exclusive territory. This means that the new outlet will be the only representative of the franchise in a specified territory and will not have to compete with other outlets of the same chain. How does the presence of an exclusive-territory clause in the contract relate to the survival of the business?
A study designed to address this question collected data from a random sample of new franchise firms. Two categorical variables were measured for each franchisor. First, the franchisor was classified as successful or not based on whether or not it was still offering franchises as of a certain date. Second, the contract each franchisor offered to franchisees was classified according to whether or not there was an exclusive-territory clause. Here are the count data, arranged in a two-way table:
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Do these data provide convincing evidence of an association between an exclusive territory clause and business survival? Carry out an appropriate test at the level.
The expected count of cases of lymphoma in homes with an HCC is
(a) .
(b) .
(c) .
(d) .
(e) None of these.
Reading and grades (10.2) Summary statistics for the two groups from Minitab are provided below.
(a) Explain why it is acceptable to use two-sample t procedures in this setting.
(b) Construct and interpret a confidence interval for the difference in the mean English grade for light and heavy readers.
(c) Does the interval in part (b) provide convincing evidence that reading more causes an increase in students’ English grades? Justify your answer.
Canada has universal health care. The United States does not but often offers more elaborate treatment to patients with access. How do the two systems compare in treating heart attacks? Researchers compared random samples of U.S. and Canadian heart attack patients. One key outcome was the patients’ own assessment of their quality of life relative to what it had been before the heart attack. Here are the data for the patients who survived a year:
Is there a significant difference between the two distributions of quality-of-life ratings? Carry out an appropriate test at the level.
A study conducted in Charlotte, North Carolina, tested the effectiveness of three police responses to spouse abuse: (1) advise and possibly separate the couple, (2) issue a citation to the offender, and (3) arrest the offender. Police officers were trained to recognize eligible cases. When presented with an eligible case, a police officer called the dispatcher, who would randomly assign one of the three available treatments to be administered. There were a total of 650 cases in the study. Each case was classified according to whether the abuser was subsequently arrested within six months of the original incident.
(a) Explain the purpose of the random assignment in the design of this study.
(b) Construct a well-labeled graph that is suitable for comparing the effectiveness of the three treatments.
(c) We want to use these data to perform a test ofwhere
the true proportion of spouse abusers like the ones in this study who would be arrested again within six months after receiving treatment \(i\). State an appropriate alternative hypothesis.
(d) Assume that all the conditions for performing the test in part (b) are met. The test yields and a P-value of Interpret this P-value in context. What conclusion should we draw from the study?
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