Perform the Indicated Hypothesis Test Test the Claim That the Type of Team Winning Is

question 36

Essay

Perform the indicated hypothesis test. Be sure to do the following: identify the claim and state the null and alternative
hypotheses. Determine the critical value. Calculate the test statistic. Decide to reject or to fail to reject the null
hypothesis and interpret the decision in the context of the original claim.
-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. $$\begin{array} { l | c c c c } & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team wins } & 39 & 156 & 25 & 83 \\\text { Visiting team wins } & 31 & 98 & 19 & 75\end{array}$$ Test the claim that the type of team winning is independent of the type of sport. Use $$\alpha = 0.01$$

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Definitions:

Break-Even Point

The point at which total costs equal total revenue, meaning there is no net loss or gain.

Variable Costs

Costs that vary in proportion with the level of goods or services produced or sold.

Fixed Costs

Costs that do not vary with the level of output or sales, such as rent, salaries, and insurance premiums.

Break-Even Point

The sales level at which total revenues equal total costs, resulting in no profit but no loss.