A researcher performed a study to determine whether an association exists between political party affiliation and income.She obtained the following sample data.Use a 1% level of significance. $194277252723\begin{array}{|l|r|r|r|r|}&&\text {income bracket}\\\hline party& \text { Low } & \text { Middle } & \text { High } & \text { Total } \\\hline \text { Conservative } & 101 & 130 & 97 & 328 \\\hline \text { NDP } & 78 & 113 & 146 & 337 \\\hline \text { Other } & 15 & 34 & 9 & 58 \\\hline \text { Total } & 194 & 277 & 252 & 723 \\\hline\end{array}$ $x ^ { 2 }$ = 27.831; P-value = 0.0000135

A) Reject the null hypothesis.The data provide sufficient evidence to conclude that political party affiliation is distributed uniformly for each income bracket.
B) Do not reject the null hypothesis.There is insufficient evidence to conclude that there is a relationship between income and political party affiliation.
C) Reject the null hypothesis.The data provide sufficient evidence to conclude that there is a relationship between income and political party affiliation.
D) Do not reject the null hypothesis.The data provide sufficient evidence to conclude that there is a relationship between income and political party affiliation.
E) Reject the null hypothesis.There is insufficient evidence to conclude that there is a relationship between income and political party affiliation.

Question

A researcher performed a study to determine whether an association exists between political party affiliation and income.She obtained the following sample data.Use a 1% level of significance.

194277252723\begin{array}{|l|r|r|r|r|}&&\text {income bracket}\\\hline party& \text { Low } & \text { Middle } & \text { High } & \text { Total } \\\hline \text { Conservative } & 101 & 130 & 97 & 328 \\\hline \text { NDP } & 78 & 113 & 146 & 337 \\\hline \text { Other } & 15 & 34 & 9 & 58 \\\hline \text { Total } & 194 & 277 & 252 & 723 \\\hline\end{array}

x ^ { 2 }

= 27.831; P-value = 0.0000135

A) Reject the null hypothesis.The data provide sufficient evidence to conclude that political party affiliation is distributed uniformly for each income bracket.
B) Do not reject the null hypothesis.There is insufficient evidence to conclude that there is a relationship between income and political party affiliation.
C) Reject the null hypothesis.The data provide sufficient evidence to conclude that there is a relationship between income and political party affiliation.
D) Do not reject the null hypothesis.The data provide sufficient evidence to conclude that there is a relationship between income and political party affiliation.
E) Reject the null hypothesis.There is insufficient evidence to conclude that there is a relationship between income and political party affiliation.

mehrshad nikrad · Accepted Answer

Final Answer : C, Explanation :  The P-value of 0.0000135 is less than the significance level of 0.01, indicating strong evidence against the null hypothesis, thus supporting the conclusion that there is a relationship between income and political party affiliation.

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