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A Coffeehouse Wishes to See If Customers Have Any Preference χ2\chi ^ { 2 }

question 10

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A coffeehouse wishes to see if customers have any preference among 5 different brands of coffee. A sample of 200 customers provided the data below. Calculate the chi-square test statistic χ2\chi ^ { 2 } used to test the claim that the probabilities show no preference.
 Brand 12345 Customers 3018325565\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 30 & 18 & 32 & 55 & 65\end{array}


Definitions:

Benefit

The advantage or profit gained from something.

Absolute Advantage

The ability of a country, individual, or firm to produce a good more efficiently than another entity using the same amount of resources.

Comparative Advantage

An economic theory that suggests that countries or entities gain and benefit from trading if they specialize in producing goods for which they have a lower opportunity cost.

Trade

The act of buying, selling, or exchanging goods and services between people or entities, within or across borders.

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