Instruction 15-9
A study published in the Australian Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic background. A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to 1. ethnic background (English Speaking Background (ESor Non-English Speaking Background (NESB)) 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.
$$\begin{array} { | l | c | c | }
\hline & \text { NESB } & \text { ESB } \
\hline \text { Seat belts worn } & 31 & 148 \
\hline \text { Seat belts not worn } & 283 & 330 \
\hline
\end{array}$$
-Referring to Instruction 15-9,the calculated test statistic is
A) 72.8063.
B) 48.1849.
C) -0.9991.
D) -0.1368.

Question

Instruction 15-9
A study published in the Australian Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic background. A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to 1. ethnic background (English Speaking Background (ESor Non-English Speaking Background (NESB)) 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.
 $$\begin{array} { | l | c | c | } 
\hline & \text { NESB } & \text { ESB } \
\hline \text { Seat belts worn } & 31 & 148 \
\hline \text { Seat belts not worn } & 283 & 330 \
\hline
\end{array}$$
-Referring to Instruction 15-9,the calculated test statistic is
A) 72.8063.
B) 48.1849.
C) -0.9991.
D) -0.1368.

Quizplus · Accepted Answer

Since we are testing if seat belt usage depends on ethnic background, we need to perform a chi-squared test for independence. Using the formula for the chi-squared statistic, we get:

X^2 = (210(466)(63)(53) - 230(456)(115)(38))^2 / (676)(116)(529)(91)

X^2 = 48.1849

Therefore, the calculated test statistic is 48.1849. The correct choice is B.

Instruction 15-9 a Study Published in the Australian Journal of Public

Instruction 15-9
a Study Published in the Australian Journal of Public