An agency responsible for coordinating organ donations for the purpose of transplantation conducted a survey in four different regions of Canada.In each region-West,Prairies,Central,and Atlantic-separate surveys were conducted.One question addressed attitudes with respect to the use of unrelated living donors for kidney transplantation.The following table summarizes the findings in these regions. The agency was interested in determining if the proportion of people who approve of unrelated living kidney donation is the same across the various regions. The value of the test statistic under the appropriate null hypothesis is 13.21.The degrees of freedom and the approximate P-value for the test are,respectively,

A) 3 and between 0.005 and 0.01.
B) 7 and between 0.05 and 0.1.
C) 3 and between 0.0025 and 0.005.
D) 7 and between 0.1 and 0.2.
E) 3 and less than 0.0025.

Question

An agency responsible for coordinating organ donations for the purpose of transplantation conducted a survey in four different regions of Canada.In each region-West,Prairies,Central,and Atlantic-separate surveys were conducted.One question addressed attitudes with respect to the use of unrelated living donors for kidney transplantation.The following table summarizes the findings in these regions.

The agency was interested in determining if the proportion of people who approve of unrelated living kidney donation is the same across the various regions. The value of the test statistic under the appropriate null hypothesis is 13.21.The degrees of freedom and the approximate P-value for the test are,respectively,

A) 3 and between 0.005 and 0.01.
B) 7 and between 0.05 and 0.1.
C) 3 and between 0.0025 and 0.005.
D) 7 and between 0.1 and 0.2.
E) 3 and less than 0.0025.

KENIJAH LUSTER · Accepted Answer

Final Answer : C, Explanation :  Based on the given information, we can perform a chi-squared test of independence to determine if there is a significant difference in the proportion of people who approve of unrelated living kidney donation across the four regions. The null hypothesis is that the proportion of people who approve is the same in all four regions, and the alternative hypothesis is that there is a difference.The test statistic given in the problem is 13.21. To find the degrees of freedom, we need to calculate the number of cells in the contingency table minus 1. Since we have four regions and two categories (approve or not approve), there are 4*2=8 cells, so the degrees of freedom are 8-1=7.To find the approximate P-value, we can use a chi-squared distribution table with 7 degrees of freedom. The P-value for a chi-squared statistic of 13.21 with 7 degrees of freedom is between 0.0025 and 0.005. Therefore, the best choice is C.

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