Chapter 11: Q.54 (page 730)
The expected count of females who respond “almost certain” is
(a) .
(b) .
(c) .
(d) .
(e) None of these.
Short Answer
The expected count is . Therefore, the correct option (c).
Chapter 11: Q.54 (page 730)
The expected count of females who respond “almost certain” is
(a) .
(b) .
(c) .
(d) .
(e) None of these.
The expected count is . Therefore, the correct option (c).
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Get started for freeRepresentative sample? For a class project, a group of statistics students is required to take an SRS of students from their large high school to take part in a survey. The students’ sample consists of freshmen, sophomores, juniors, and seniors. The school roster shows that of the students enrolled at the school are freshmen, are sophomores, are juniors, and are seniors.
(a) Construct a well-labeled bar graph that shows the distribution of grade levels (in percents) for the sample data. Do these data give you any reason to suspect that the statistics students’ sample is unusual? Explain. (b) Use an appropriate test to determine whether the sample data differ significantly from the actual distribution of students by grade level at the school.
Regulating guns The National Gun Policy Survey asked a random sample of adults, “Do you think there should be a law that would ban possession of handguns except for the police and other authorized persons?” Here are the responses, broken down by the respondent’s level of education:
(a) How do opinions about banning handgun ownership seem to be related to the level of education? Make an appropriate graph to display this relationship. Describe what you see.
(b) Determine whether or not the sample provides convincing evidence that education level and opinion about a handgun ban are independent in the adult population
The -value for a chi-square goodness-of-fit test is . The correct conclusion is
(a) reject at ; there is strong evidence that the trees are randomly distributed.
(b) reject at ; there is not strong evidence that the trees are randomly distributed.
(c) reject at ; there is strong evidence that the trees are not randomly distributed.
(d) fail to reject at ; there is not strong evidence that the trees are randomly distributed.
(e) fail to reject at ; there is strong evidence that the trees are randomly distributed.
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?
Do students who read more books for pleasure tend to earn higher grades in English? The boxplots below show data from a simple random sample of students at a large high school. Students were classified as light readers if they read fewer than books for pleasure per year. Otherwise, they were classified as heavy readers. Each student's average English grade for the previous two marking periods was converted to a GPA scale where and so on.
Reading and grades (1.3) Write a few sentences comparing the distributions of English grades for light and heavy readers.
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