Asked by Garyn Gardner on May 16, 2024
Verified
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. income bracketparty Low Middle High Total Conservative 10113097328 NDP 78113146337 Other 1534958 Total 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}party Conservative NDP Other Total Low 1017815194income bracket Middle 13011334277 High 971469252 Total 32833758723 x2x ^ { 2 }x2 = 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.
Income Bracket
Categories of income range used for tax purposes or to analyze economic data, showing the distribution of population by income levels.
Political Party
A group of individuals united by similar political goals and views, aiming to affect policy decisions by having their members elected into governmental positions.
Level of Significance
A threshold chosen by the researcher that determines when to reject the null hypothesis in statistical testing.
- Gain insight into the theory and application of Chi-Square tests in testing for independence and goodness-of-fit.
- Determine and elucidate the significance of P-values in tests of hypotheses.
- Ascertain the relationship between variables as either independent or associated through statistical analysis.
Verified Answer
Learning Objectives
- Gain insight into the theory and application of Chi-Square tests in testing for independence and goodness-of-fit.
- Determine and elucidate the significance of P-values in tests of hypotheses.
- Ascertain the relationship between variables as either independent or associated through statistical analysis.
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