Here we have to check independence of two attributes therefore we use chi square test :
Let
A: Wear seat belt
B: death
Hypothesis is to be tested:
Attributes A and B are independent.
against
Attributes A and B are dependent.
Test Statistic:
this is chi square with degrees of freedom 1.
if number of rows(r)=2, and number of columns=2 then contingency table is,
A \ B | B1 | B2 | Total |
A1 | a | b | a+b |
A2 | c | d | c+d |
Total | a+c | b+d | N=a+b+c+d |
if we compare this contengency table to given table
A \B | died(B1) | survive(B2) | Total |
wear seat belt (A1) | a=10 | b=50 | a+b=60 |
Dont wear seat belt(A1) | c=20 | d=30 | c+d=50 |
Total | a+c=30 | b+d=80 | N=110 |
therefore test statistic becomes:
............................................test statistic value.
critical value:
Decision Criteria:
if then reject Ho at % level of significance.
Here
therefore we reject Ho at 1% level of significance.
that is we accept H1
means wearing seat belt and death are dependent on each other.
please show work. 3) Test the claim that seat belts and death are independent wearing Died...
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