A Sports Researcher Is Interested in Determining If There Is $$\chi ^ { 2 }$$

question 55

Multiple Choice

A sports researcher is interested in determining if there is a relationship between the type of sport and type of team winning (home team versus visiting team) . A random sample of 526 games is selected and the results are
Given below. Calculate the chi-square test statistic χ $$\chi ^ { 2 }$$
to test the claim that the type of team winning is
Independent of the sport. $$\begin{array} { l | c c c c } & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team wins } & 39 & 156 & 25 & 83 \\\text { Visiting team wins } & 31 & 98 & 19 & 75\end{array}$$

• A)3.290
• B)2.919
• C)5.391
• D)4.192

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Definitions:

Shortage/Surplus

A market condition where the quantity demanded is greater than the quantity supplied (shortage) or the quantity supplied is greater than the quantity demanded (surplus).

Price Floor

A government or group-imposed limit that prevents prices of goods or services from falling below a certain level.

Shortage/Surplus

A condition in a market where the quantity demanded is greater or less than the quantity supplied at the current price.

Elasticity of Demand

A measure of how much the quantity demanded of a good responds to a change in the price of that good, with all other things being equal.