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,at 5% level of significance,the critical value of the test statistic is
A) 5.9914.
B) 3.8415.
C) 9.4877.
D) 13.2767.

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,at 5% level of significance,the critical value of the test statistic is
A) 5.9914.
B) 3.8415.
C) 9.4877.
D) 13.2767.

Quizplus · Accepted Answer

We are given a sample of 792 children treated for injuries sustained from motor vehicle accidents and we want to determine if seat belt usage depends on ethnic background. This is a test of independence, and we can use a chi-square test with one degree of freedom at the 5% level of significance. The critical value for this test is 3.8415, which is option B. Therefore, we reject the null hypothesis if our test statistic is greater than 3.8415.

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

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