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

question 33

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.
-The table below shows the age and favorite type of music of 668 randomly selected people.
$\begin{array} { l | r c c } & \text { Rock } & \text { Jazz } & \text { Classical } \\ \hline 15 - 25 & 50 & 85 & 73 \\ 25 - 35 & 68 & 91 & 60 \\ 35 - 45 & 90 & 74 & 77 \end{array}$
At the 0.05 significance level, do the data provide sufficient evidence to conclude that an association exists between age and preferred music type?

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Definitions:

Trade Discounts

Discounts from the list prices in published catalogs or special discounts offered to certain classes of buyers.

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The pre-discount price at which goods and services are listed to be sold to customers.

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Purchase Discount

A deduction that a buyer receives on the invoice price of a purchase if the payment is made within a specified period.