Perform a Chi-Square Independence Test Using the Critical Value Approach

question 31

Essay

Perform a chi-square independence test using the critical value approach, provided the conditions for using the test aremet. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the criticalvalue, to compute the value of the test statistic, and to state your conclusion.
-At the 0.01 significance level, do the data provide sufficient evidence to conclude that an association exists between car color and the likelihood of being in an accident? $$\begin{array} { r | r r c } & \text { Red } & \text { Blue } & \text { White } \\ \hline \text { Car has been in accident } & 28 & 33 & 36 \\ \text { Car has not been in accident } & 23 & 22 & 30 \end{array}$$

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Definitions:

Cottage Cheese

A fresh cheese curd product with a mild flavor, characterized by small to large curd sizes.

Ice Cream

A frozen dessert typically made from dairy products, such as milk and cream, and often combined with fruits, flavors, or other ingredients.

Moisture Level

The amount of water present in a substance, often expressed as a percentage of the substance's total weight.

Significance Level

A threshold used in hypothesis testing that determines the probability of rejecting a true null hypothesis.