Goodness of fit test and contingency tables: births records of random

Category: Mathematics

Goodness of Fit Test and Contingency Tables

 

Births Records of random selected births were obtained a categorized according to the day of the week that they occurred (based on data from the National Center for Health Statistics). Because babies are unfamiliar our schedule of weekdays, a reasonable claim is that births occur on different days with equal frequency. See the table that follows. Use a 0.01 significance level to test that claim. Can you provide an explanation for the result?

Day

Sun

Mon

Tues

Wed

Thrus

Fri

Sat

# of Births

77

110

124

122

120

123

97

 

 

Is Seat Belt Use Independent of Cigarette Smoking? A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the given table (based on data from “What Kinds of People Do Not Use Seat Belts?’ by Helsing and Comstock, American Journal of Public Health, Vol. 67, No 11). Test the claim that the amount of smoking in independent of seat belt use. A plausible theory is that people who smoke more are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data?

 

Number of Cigarettes Smoked per Day

 

0

1-14

15-34

35 and over

Wear Seat Belt

175

20

42

6

Don’t Wear Seat Belt

149

17

41

9

 

 

 

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