The next set of questions refers to the following situation: A study was conduct

Question

The next set of questions refers to the following situation: A study was conducted to determine if the fatality rate depends on the size of the automobile. The analysis of accidents is as follows (with some values hidden): SIZE DEATH FREQUENCY m I TOTAL 1, TOTAL 137 223 374 63 128 46 237 4 6 16 62 yes 26 I 95 TOTAL 89 223 374 STATISTICS FOR TABLE OF DEATH BY SIZE STATISTIC DF VALUE PROB CHI-SQUARE LIKELIHOOD RATIO CHI-sQUARE 8.663 8.838 3. Under a suitable null hypothesis, the expected frequency for the cell corresponding to fatal type of ident and small size automobile is: (a) 81.69 67.00 (c) 61.43 (d) 63.41 Test 13A Chapter 13

Explanation / Answer

3. Formula for expected frequency is : (Row marginal * Column marginal)/Total

=(137*223)/374

=81.687~81.69 Option a

4. The null hypothesis is H0: fatality status is independent of size of automobile versus alternative hypothesis, H1: fatality status is dependent on size of automobile.

Option c

5. For df=(r-1)(c-1)=(2-1)(3-1)=2, at alpha=0.05, the critical chi-square is 5.991. If test statstic exceeds 5.991, reject null hypothesis. Option c

6. The test statstic is covered between two p values 0.01 and 0.0025. Therefore, The approximate p value is between 0.01 and 0.0025. Option c)

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