Use A $X^2$ Test to Test the Claim That in the Given Contingency

question 14

Essay

Use a $X^2$ test to test the claim that in the given contingency table, the row variable and the_
column variable are independent. 160 students who were majoring in either math or English
were asked a test question, and the researcher recorded whether they answered the question
correctly. The sample results are given below. At the 0.10 significance level, test the claim that
response and major are independent. $$\begin{array} { r | c c } & \text { Correct } & \text { Incorrect } \\\hline \text { Math } & 27 & 53 \\\text { English } & 43 & 37\end{array}$$

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Definitions:

Linguistic Relativity Hypothesis

The theory that suggests the structure of a language influences its speakers' world view or cognition.

Worldview Hypothesis

A theory suggesting that individuals' beliefs and values deeply influence their perception of the world.

Nim Chimpsky

A chimpanzee who was the subject of an extended study of animal language acquisition, named humorously after linguist Noam Chomsky.

Symbols

Objects, figures, or colors used to represent ideas or concepts.