Which of the Following Statements Is True for the Chi-Squared

question 3

Short Answer

Which of the following statements is true for the chi-squared tests? $\begin{array}{|l|l|}\hline \text { A. } & \text { Testing for equal proportions is identical to testing for goodness-of-fit. } \\\hline \text { B. } & \begin{array}{l}\text { The number of degrees of freedom in a test of a contingency table with } r \text { rows and } c \\\text { columns is }(r-1)(c-1) \text {. }\end{array} \\\hline \text { C. } & \text { The number of degrees of freedom in a goodness-of-fit test with } k \text { categories is } k-1 . \\\hline \text { D. } & \text { All of these choices are correct. } \\\hline\end{array}$

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Definitions:

Bi-conditional

A logical condition where two statements are both necessary and sufficient for one another; if and only if (iff).

Tautology

A redundant or repetitive statement in which the conclusion is equivalent to the premise, offering no additional insight.

Logic of Statements

The study of principles and criteria for evaluating deductive arguments and the structural relationships between statements.

Logic of Statements

Refers to the study and application of the principles of valid inference and correct reasoning, particularly focusing on the relationships and properties of statements in logic.