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A Random Group of Customers at a Fast Food Chain 50%50 \%

question 16

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A random group of customers at a fast food chain were asked whether they preferred hamburgers, chicken sandwiches, or fish sandwiches. The restaurant's marketing department claims that 50%50 \% of customers prefer hamburgers, 32%32 \% of the customers prefer chicken sandwiches, and 18%18 \% of the customers prefer fish sandwiches. Is there evidence to reject this hypothesis at α=0.05\alpha = 0.05 ?
 Plans  Hamburgers  Chicken  Fish  Number of students 40206\begin{array} { l c c c } \text { Plans } & \text { Hamburgers } & \text { Chicken } & \text { Fish } \\ \text { Number of students } & 40 & 20 & 6 \end{array}

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Definitions:

ANOVA Table

a table that summarizes the analysis of variance test results, used to determine if there are any statistically significant differences between the means of three or more independent groups.

F-ratio

A statistic used to compare the variance among group means in an analysis of variance (ANOVA) test.

P-value

A function of the observed sample results in a statistical hypothesis test, representing the probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct.

Speeds

Rates at which an object covers distance, often measured in units like miles per hour or kilometers per hour.

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