Preferences for the Type of Diet Drink from a Random

question 55

Multiple Choice

Preferences for the type of diet drink from a random sample of 121 shoppers are in the table below. A researcher is interested in determining if there is a relationship between the type of diet drink preferred and the age of the shoppers. $$\begin{array}{l}\begin{array} { l l | r | r | r } & & \text { Under } 25 & 25 \text { and Older } & \text { Total } \\\hline \text { Diet Pepsi } & \text { Observed } & 10 & 60 & 70 \\& \text { Expected } & 21.40 & 48.60 & 70.00 \\& \% \text { of chisq } & 28.6 \% & 12.6 \% & 41.3 \% \\\hline \text { Diet Coke } & \text { Observed } & 18 & 14 & 32 \\& \text { Expected } & 9.79 & 22.21 & 32.00 \\& \% \text { of chisq } & 32.5 \% & 14.3 \% & 46.8 \% \\\hline \text { Diet Sprite } & \text { Observed } & 9 & 10 & 19 \\& \text { Expected } & 5.81 & 13.19 & 19.00 \\& \text { \% of chisq } & 8.3 \% & 3.6 \% & 11.9 \% \\\hline \text { Total } & \text { Observed } & 37 & 84 & 121 \\& \text { Expected } & 37.00 & 84.00 & 121.00 \\& \text { \% of chisq } & 69.4 \% & 30.6 \% & 100.0 \%\end{array}\\\text { 21.21 chi-square }\end{array}$$ In performing a chi-square test of independence on these data, how many degrees of freedom will the test statistic have?

• A)1
• B)2
• C)4
• D)6

---

Definitions:

Absolute Advantage

The capability of a country, entity, or individual to produce a good or service more efficiently than competitors, using fewer resources.

Cars

Motor vehicles with four wheels typically used for transportation of people rather than goods.

Trucks

Heavy vehicles used for transporting goods and materials over land.

Opportunity Cost

The cost of forfeiting the next best alternative when making a decision, representing the benefits missed when choosing one option over another.