STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 18, Problem 24E
a.
To determine
Obtain the 95% confidence interval for the true proportion of those cardholders who will register for the offer.
b.
To determine
Check whether the percentage is plausible or not.
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Students have asked these similar questions
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01
significance level, test the claim that injuries are independent of helmet color.
Color of Helmet
Black
White
Yellow
Red
Blue
Controls (not injured)
499
373
32
159
79
Cases (injured
221
108
8
66
38
or killed)
Click here to view the chi-square distribution table.
Chi-square distribution table
Area to the Right of the Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
C. Ho: Injuries and neimet color are dependent
H₁: Injuries and helmet color are independent
D. Ho: Whether a crash occurs and helmet color are dependent
1
0.001
0.004
0.016
2.706
3.841
5.024
6.635
7.879
2
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210
10.597
3
0.072
0.115
0.216
0.352
0.584
6.251
7.815
9.348
11.345
12.838
4
0.207
0.297…
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.
A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 28, 32, 46, 39, 29, 26. Use a 0.025 significance level to test the
claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
Click here to view the chi-square distribution table.
The test statistic is
(Round to three decimal places as needed.)
Chi-square distribution table
Area to the Right of the Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
1
0.001
0.004
0.016
2.706
3.841
5.024
6.635
2
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210
7.879
10.597
3
0.072
0.115
0.216
0.352
0.584
6.251
7.815
9.348
11.345 12.838
4
0.207
0.297
0.484
0.711
1.064
7.779
9.488
11.143
13.277 14.860
5…
The online clothing retailer e-Parel is conducting a study to estimate the average size of the orders placed by visitors to its website. The project manager desires a $60 bound on the error of estimation at 90% confidence. The population standard deviation is unknown, and a “best guess” of $175 is used as the planning value for σ.
Use the Distributions tool to help you answer the questions that follow.
0123
Select a Distribution
The z-value for a 90% confidence interval of the population mean is .
In order to satisfy the requirement of a $60 bound on the error of estimation, a sample size no smaller than is needed.
Chapter 18 Solutions
STATS:DATA+MODELS-W/DVD
Ch. 18.1 - Prob. 1JCCh. 18.1 - Prob. 2JCCh. 18.1 - Prob. 3JCCh. 18.1 - Prob. 4JCCh. 18.1 - Prob. 5JCCh. 18.3 - Prob. 6JCCh. 18.3 - Prob. 7JCCh. 18.3 - Think some more about the 95% confidence interval...Ch. 18 - Prob. 5ECh. 18 - Prob. 37E
Ch. 18 - 20. Hiring In preparing a report on the economy,...Ch. 18 - Prob. 9ECh. 18 - Prob. 10ECh. 18 - Prob. 11ECh. 18 - 24. More conditions Consider each situation...Ch. 18 - Prob. 13ECh. 18 - 26. More conclusions In January 2002, two students...Ch. 18 - Prob. 15ECh. 18 - 28. Confidence intervals, again Several factors...Ch. 18 - Prob. 17ECh. 18 - Prob. 18ECh. 18 - 31. Mislabeled seafood In 2013 the environmental...Ch. 18 - Prob. 20ECh. 18 - Prob. 21ECh. 18 - Prob. 22ECh. 18 - Prob. 23ECh. 18 - 36. Take the offer First USA, a major credit card...Ch. 18 - Prob. 25ECh. 18 - 38. Junk mail Direct mail advertisers send...Ch. 18 - Prob. 27ECh. 18 - 40. Local news The mayor of a small city has...Ch. 18 - Prob. 29ECh. 18 - 42. Gambling A city ballot includes a local...Ch. 18 - Prob. 31ECh. 18 - 44. Teachers A 2011 Gallup poll found that 76% of...Ch. 18 - Prob. 33ECh. 18 - Prob. 34ECh. 18 - Prob. 35ECh. 18 - 48. Back to campus II Suppose ACT, Inc. wants to...Ch. 18 - Prob. 39ECh. 18 - Prob. 40ECh. 18 - Prob. 41ECh. 18 - Prob. 42ECh. 18 - Prob. 43ECh. 18 - Prob. 44ECh. 18 - Prob. 1ECh. 18 - Prob. 2ECh. 18 - Prob. 3ECh. 18 - Prob. 4ECh. 18 - Prob. 6ECh. 18 - Prob. 7ECh. 18 - Prob. 8E
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