A researcher believes that among the residents of a remote community, 10% have t

Question

A researcher believes that among the residents of a remote community, 10% have type O blood, 30% have type A blood, 50% have type B blood and 10% have type AB blood. She takes a random sample of 179 residents and finds that 22 had type O blood, 51 had type A blood, 71 had type B blood and 35 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Complete the table rounding all answers to three decimal places. What is the chi-square test-statistic for this data? chi^2 = _______ What are the degrees of freedom for this test? df = _______ What are the bounds on the p-value? _______ lessthanorequalto p-value lessthanorequalto _______ Report all answers accurate to three decimal places.

Explanation / Answer

chi square X2 =21.235

df=3

p value =0.00009

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E O 0.100 22.00 17.90 0.94 A 0.300 51.00 53.70 0.14 B 0.500 71.00 89.50 3.82 AB 0.100 35.00 17.90 16.34 179 179 21.235

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