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A Researcher Wants to Determine If the Number of Minutes χ2\chi ^ { 2 }

question 20

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A researcher wants to determine if the number of minutes spent watching television per day is independent of gender. A random sample of 315 adults was selected and the results are shown below. Calculate the chi -square statistic χ2\chi ^ { 2 } to determine if there is enough evidence to conclude that the number of minutes spent watching television per day is related to gender. Use α=0.05\alpha = 0.05 .
 Gender \text { Gender } \quad  Minutes spent watching TV per day  \text { Minutes spent watching TV per day }
0303060609090 over  Male 25357545 Female 30454515\begin{array} { l | c c c c } \hline & 0 - 30 & 30 - 60 & 60 - 90 & 90 - \text { over } \\\text { Male } & 25 & 35 & 75 & 45 \\\text { Female } & 30 & 45 & 45 & 15\end{array}


Definitions:

Cost

The amount of money required to purchase, produce, or maintain something.

Markup Percent

The extra portion put on the cost of items to cover the expenses of operation and achieve profit.

Selling Price

The amount for which something is sold, making it the price a buyer pays to acquire a product or service.

Markup Percent

The proportion added onto the purchase price of products to account for overhead costs and gain a profit.

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