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

question 28

Multiple Choice

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 $\chi ^ { 2 }$ used to test the claim that the probabilities show no preference.
$\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 55 & 65 & 18 & 30 & 32\end{array}$

• A) \(37.45\)
• B) \(48.91\)
• C) \(55.63\)
• D) \(45.91\)

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Definitions:

Game Shows

Competitive entertainment programs on television or radio where participants play games to win prizes.

Normality Condition

A requirement that the distribution of sample means approximates a normal distribution, assuming the sample size is large enough, which is crucial for the application of many statistical tests.

Wilcoxon Rank

A nonparametric test that compares two paired groups to determine if their population mean ranks differ significantly.

Alternative Hypothesis

The hypothesis that proposes there is a statistically significant difference between two data sets or a deviation from the null hypothesis.