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Chapter 10: Q 33. (page 644)
Which of the following is the correct margin of error for a confidence interval for the difference in the proportion of male and female college students who worked for pay last summer?
a.
b.
c.
d.
e.
Option (c) is correct.
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At a baseball game, of randomly selected people own an iPod. At a rock concert occurring at the same time across town, of randomly selected people own an iPod. A researcher wants to test the claim that the proportion of iPod owners at the two venues is different. A confidence interval for the difference (Game 鈭� Concert) in population proportions is . Which of the following gives the correct outcome of the researcher鈥檚 test of the claim?
a. Because the confidence interval includes , the researcher can conclude that the proportion of iPod owners at the two venues is the same.
b. Because the center of the interval is , the researcher can conclude that a higher proportion of people at the rock concert own iPods than at the baseball game.
c. Because the confidence interval includes , the researcher cannot conclude that the proportion of iPod owners at the two venues is different.
d. Because the confidence interval includes more negative than positive values, the researcher can conclude that a higher proportion of people at the rock concert own iPods than at the baseball game.
e. The researcher cannot draw a conclusion about a claim without performing a significance test.
Ice cream For a statistics class project, Jonathan and Crystal held an ice-cream-eating contest. They randomly selected 29 males and 35 females from their large high school to participate. Each student was given a small cup of ice cream and instructed to eat it as fast as possible. Jonathan and Crystal then recorded each contestant鈥檚 gender and time (in seconds), as shown in the dot plots.
Do these data give convincing evidence of a difference in the population means at the 伪=0.10 significance level?
a. State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest.
b. Check if the conditions for performing the test are met.
A beef rancher randomly sampled cattle from her large herd to obtain a confidence interval for the mean weight (in pounds) of the cattle in the herd. The interval obtained was (). If the rancher had used a confidence interval instead, the interval would have been
a. wider with less precision than the original estimate.
b. wider with more precision than the original estimate.
c. wider with the same precision as the original estimate.
d. narrower with less precision than the original estimate.
e. narrower with more precision than the original estimate.
Suppose the null and alternative hypothesis for a significance test are defined as
H0: 渭=H0 : 渭=
Ha: 渭<Ha : 渭<
Which of the following specific values for Ha will give the highest power? a. 渭=
b. 渭=
c. 渭=
d. 渭=
e. 渭=
Suppose the true proportion of people who use public transportation to get to work in the Washington, D.C. area is . In a simple random sample of people who work in Washington, about how far do you expect the sample proportion to be from the true proportion?
a.
b.
c.
d.
e.
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