The report ?2015 Utah Seat Belt Use Survey? (Utah Department of Public Safety?Highway Safety Office, September 14, 2015) stated that based on observing a large number of vehicle occupants, the estimated percentage of Utah drivers and passengers who wear seatbelts is 87.2%. 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.

Assume that these data are representative of drivers and passengers in Utah. 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.

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Rural Areas Female Urban Areas Female Male Seat belt No Seat Belt Male 871 129 928 72 837 770 230 163