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Chi-square tests: independence of variables, goodness of fit

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5) Chi-square test for independence of variables and goodness of fit
a) 1024 car drivers were classified according to gender and use of seat belts. The results are tabulated below:

SEAT BELT USAGE
DON'T USE USE
MALE 192 272
FEMALE 284 276

Does the data suggest an association between gender and seat belt usage?

b) A researcher wishes to determine if a particular breed of pig is equally likely to produce a male of female piglet. 106 litters of pig of this breed, each containing 8 piglets, were classified according to the number of male piglets in the litters. The results are tabulated below:

NUMBER OF MALE PIGLETS 0 1 2 3 4 5 6 7 8
FREQUENCY 0 5 9 22 25 26 14 4 1

From this data, does it appear that the sexes are equally probable?

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Chi-square tests for independence of variables and goodness of fit have been performed.

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