Asked by Mykal Josie on Jul 11, 2024

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A researcher performed a study to determine whether political party affiliations are different for different income brackets.She obtained the following sample data. Income Bracket
partyLowMiddleHighTotalConservative10113097328NDP78113146337Other1534958Total194277252723\begin{array}{l}\begin{array} { | l | r | r | r | r | } \hline {party } & Low & Middle & High & Total \\\hline Conservative & 101 & 130 & 97 & 328 \\\hline NDP & 78 & 113 & 146 & 337 \\\hline Other & 15 & 34 & 9 & 58 \\\hline Total & 194 & 277 & 252 & 723 \\\hline\end{array}\end{array}partyConservativeNDPOtherTotalLow1017815194Middle13011334277High971469252Total32833758723

A) H0: There is a relationship between political party affiliation and income. HA: Income and political party affiliation have no relationship.
B) H0: Political party affiliation is uniformly distributed over the income brackets. HA: Party affiliation is not uniformly distributed over the income brackets.
C) H0: Income and political party affiliation are dependent. HA: Income and political party affiliation are not dependent.
D) H0: Political party affiliation does not have the same distribution for each income bracket. HA: Political party affiliation has the same distribution for each income bracket.
E) H0: Political party affiliation has the same distribution for each income bracket. HA: Political party affiliation does not have the same distribution for each income bracket.

Political Party Affiliations

The alignment or association of an individual with a specific political party based on shared policies, beliefs, or ideologies.

Income Brackets

Categories of income levels used to classify or tax individuals differently based on their earnings.

Null Hypothesis

A general statement or default position that there is no difference or effect, typically to be tested against an alternative hypothesis.

  • Acquire knowledge on the concept and use of Chi-Square tests for evaluating independence and goodness-of-fit.
  • Identify the appropriate statistical method for different research contexts.
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DS
Daisy ShumakeJul 14, 2024
Final Answer :
E
Explanation :
The correct hypothesis setup for a study examining if political party affiliations differ across income brackets is to start with a null hypothesis (H0) that assumes no difference (i.e., affiliations are distributed the same across brackets), and an alternative hypothesis (HA) that suggests there is a difference. This is what choice E accurately represents.