Chapter 11: Q. 51 (page 757)
Where do you live? Conduct a follow-up analysis for the test in Exercise 49.
Short Answer
We note that the expected value is higher than the observed counts of females for the category "Parents' home".
Chapter 11: Q. 51 (page 757)
Where do you live? Conduct a follow-up analysis for the test in Exercise 49.
We note that the expected value is higher than the observed counts of females for the category "Parents' home".
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Get started for freeA random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race or ethnicity of the driver. The results are summarized in the following table.
The proportion of this city's population in each of the racial/ethnic categories listed is as follows.
We wish to test : The racial/ethnic distribution of traffic tickets in the city is the same as the racial/ethnic distribution of the city's population.
Assuming is true, what is the expected number of Hispanic drivers who would receive a ticket?
a.
b.
c.
d.
e.
Aw, nuts! A company claims that each batch of its deluxe mixed nuts
contains cashews, almonds, macadamia nuts, and 8% Brazil nuts. To test this claim, a quality-control inspector takes a random sample of nuts from the latest batch. The table displays the sample data.
a. State appropriate hypotheses for performing a test of the companyโs claim.
b. Calculate the expected count for each type of nut.
c. Calculate the value of the chi-square test statistic.
Tuition bills A random sample of U.S. adults was recently asked, โWould you support or oppose major new spending by the federal government that would help undergraduates pay tuition at public colleges without needing loans?โ The two-way table shows the responses, grouped by age.
Do these data provide convincing evidence of an association between age and opinion about loan-free tuition in the population of U.S. adults?
Do students who read more books for pleasure tend to earn higher grades in English? The boxplots 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 studentโs average English grade for the previous two
marking periods was converted to a GPA scale, where
and so on.
Which test? Determine which chi-square test is appropriate in each of the following settings. Explain your reasoning.
a. With many babies being delivered by planned cesarean section, Mrs. McDonaldโs statistics class hypothesized that there would be fewer younger people born on the weekend. To investigate, they selected a random sample of people born before and a separate random sample of people born after In addition to year of birth, they also recorded the day of the week on which each person was born.
b. Are younger people more likely to be vegan/vegetarian? To investigate, the Pew Research Center asked a random sample of U.S. adults for their age and whether or not they are vegan/vegetarian.
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