A report stated that based on observing a large number of vehicle occupants, the estimated percentage of drivers and passengers in a certain country who wear seatbelts is 83.2%. The report also gave information on seat belt use by sex and by whether the vehicle is traveling in an urban or rural area. The information in the following table is consistent with summary values given in the report. Urban Areas Rural Areas Male Female Male Female Seat belt 851 908 750 817 No Seat belt 149 92 250 183 Assume that these data are representative of drivers and passengers in the country. Consider the following conclusion. Females are more likely to wear seat belts than males in both urban and rural areas. The difference in the percentage of females and the percentage of males who wear seat belts is greater for rural areas than for urban areas. Provide a justification for this conclusion. Use the information in the table to calculate relevant probabilities. The differences in the proportions for urban and rural areas are as follows. (Round your answers to three decimal places.) P(urban wear seat belt | female) − P(urban wear seat belt | male) = P(rural wear seat belt | female) − P(rural wear seat belt | male) =
A report stated that based on observing a large number of vehicle occupants, the estimated percentage of drivers and passengers in a certain country who wear seatbelts is 83.2%. The report also gave information on seat belt use by sex and by whether the vehicle is traveling in an urban or rural area. The information in the following table is consistent with summary values given in the report.
Urban Areas
Rural Areas
Male
Female
Male
Female
Seat belt
851
908
750
817
No Seat belt
149
92
250
183
Assume that these data are representative of drivers and passengers in the country. Consider the following conclusion.
Females are more likely to wear seat belts than males in both urban and rural areas. The difference in the percentage of females and the percentage of males who wear seat belts is greater for rural areas than for urban areas.
Provide a justification for this conclusion. Use the information in the table to calculate relevant probabilities.
The differences in the proportions for urban and rural areas are as follows. (Round your answers to three decimal places.)
P(urban wear seat belt | female) − P(urban wear seat belt | male)
=
P(rural wear seat belt | female) − P(rural wear seat belt | male)
=
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