Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 12.2, Problem 25E
To determine
Test whether there is any association between school performance and movie exposure to alcohol at the 0.05 significance level.
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Each person in a large sample of German adolescents was asked to indicate which of 50 popular movies they had seen in the past year. Based on the response, the amount of time (in minutes) of alcohol use contained in the movies the person had watched was estimated. Each person was then classified into one of four groups based on the amount of movie alcohol
exposure (groups 1, 2, 3, and 4, with 1 being the lowest exposure and 4 being the highest exposure). Each person was also classified according to school performance. The resulting data is given in the accompanying table.
Alcohol Exposure Group
1
2
3
4
Excellent
111
95
51
66
School
Good
328
326
318
297
Performance
Average/Poor
239
258
314
318
Assume it is reasonable to regard this sample as a random sample of German adolescents. Is there evidence that there is an association between school performance and movie exposure to alcohol? Carry out a hypothesis test using a = 0.05.
Calculate the test statistic.…
Nationally, 83% of Americans have earned a high school diploma. We want to see if the proportion of Pennsylvania high school students who have a high school diploma is greater than 83%. Suppose a representative sample of 225 Pennsylvanians is taken and each is asked if they have earned a high school diploma. 198 of the 225 Pennsylvanians were found to have earned a high school diploma.
Which of the following should we conclude?
Select one:
a. The proportion of Pennsylvanians with a high school diploma is equal to 0.83.
b. The proportion of Pennsylvanians with a high school diploma is greater than 0.83.
c. 0.83 is a plausible value for the proportion of Pennsylvanians with a high school diploma.
d. The proportion of Pennsylvanians with a high school diploma is different from 0.83.
During the first 13 weeks of the television season, the Saturday evening 8:00 RM. to 9:00 AM. audience proportions were recorded as ABC
30%, CBS 26%, NBC 23%, and Independents 21%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded
the following viewing audience data: ABC 95 homes, CBS 62 homes, NBC 83 homes, and Independents 60 homes. Test with a = 0.05 to
determine whether the viewing audience proportions changed.
Find the test statistic and p-value. (Round your test statistic to two decimal places. Use Table 3 of Appendix B.)
Test statistic-
p-value is between 0.05 and 0.10
Conclusion:
There is no significant
change in the viewing audience propertions.
Chapter 12 Solutions
Introduction to Statistics and Data Analysis
Ch. 12.1 - A particular cell phone case is available in a...Ch. 12.1 - From the given information in each case below, use...Ch. 12.1 - Prob. 3ECh. 12.1 - The article “In Bronx, Hitting Home Runs Is A...Ch. 12.1 - Prob. 5ECh. 12.1 - The paper Sociochemosensory and Emotional...Ch. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - The report “Fatality Facts 2004: Bicycles”...Ch. 12.1 - Prob. 10E
Ch. 12.1 - Prob. 11ECh. 12.1 - A certain genetic characteristic of a particulai...Ch. 12.1 - Prob. 13ECh. 12.2 - A particular state university system has six...Ch. 12.2 - A random sample of 1000 registered voters in a...Ch. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Prob. 19ECh. 12.2 - Prob. 20ECh. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Prob. 24ECh. 12.2 - Prob. 25ECh. 12.2 - Prob. 26ECh. 12.2 - Prob. 27ECh. 12.2 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - Prob. 30ECh. 12.3 - Can people tell the difference between a female...Ch. 12.3 - The following passage is from the paper Gender...Ch. 12.3 - The article titled Nap Time...Ch. 12.3 - Using data from a national survey, the authors of...Ch. 12 - Each observation in a random sample of 100 bicycle...Ch. 12 - The color vision of birds plays a role in their...Ch. 12 - Prob. 37CRCh. 12 - Prob. 38CRCh. 12 - Prob. 39CRCh. 12 - Prob. 40CRCh. 12 - Prob. 41CRCh. 12 - Prob. 42CRCh. 12 - Prob. 43CRCh. 12 - Prob. 44CR
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