A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County.A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained,and each child was classified according to (1)ethnic status (Hispanic or non-Hispanic)and (2)seat belt usage (worn or not worn)during the accident.The number of children in each category is given in the table below. Referring to these data,which of the following conclusions should be reached if the appropriate hypothesis is conducted using an alpha = .05 level?
A)The mean value for Hispanics is the same as for Non-Hispanics.
B)There is no relationship between whether someone is Hispanic and whether they wear a seat belt.
C)The use of seat belts and whether a person is Hispanic or not is statistically related.
D)None of the above

Question

A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County.A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained,and each child was classified according to (1)ethnic status (Hispanic or non-Hispanic)and (2)seat belt usage (worn or not worn)during the accident.The number of children in each category is given in the table below.  Referring to these data,which of the following conclusions should be reached if the appropriate hypothesis is conducted using an alpha = .05 level?
A)The mean value for Hispanics is the same as for Non-Hispanics. 
B)There is no relationship between whether someone is Hispanic and whether they wear a seat belt. 
C)The use of seat belts and whether a person is Hispanic or not is statistically related. 
D)None of the above

Quizplus · Accepted Answer

To determine if there is a relationship between ethnicity and seat belt usage, we need to perform a chi-square test of independence. With an alpha level of .05, we can use the chi-square test to determine if the observed frequencies in each category differ significantly from the expected frequencies based on the assumption that ethnicity and seat belt usage are independent. The chi-square test results in a p-value of less than .05, which means that we can reject the null hypothesis and conclude that there is a statistically significant relationship between ethnicity and seat belt usage. Therefore, choice C is the correct conclusion. Choices A and B are not supported by the data, and choice D is too vague.

A Study Published in the American Journal of Public Health