A Coffeehouse Wishes to See If Customers Have Any Preference $\alpha = 0.01$

question 41

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. Find the rejection region used to test the claim that the probabilities show no preference. Use $\alpha = 0.01$ .
$\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 55 & 65 & 18 & 32 & 30\end{array}$

• A) \(\chi ^ { 2 } > 11.143\)
• B) \(\chi ^ { 2 } > 14.860\)
• C) \(\chi ^ { 2 } > 13.277\)
• D) \(\chi ^ { 2 } > 9.488\)

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Definitions:

Healthy Cells

Cells that function normally, contributing to the wellbeing of an organism, typically characterized by regular growth, reproduction, and metabolic activities.

Apoptosis

A programmed cell death process that occurs in multicellular organisms, helping to remove cells that are no longer needed or are a threat to the organism.

DNA Damage

Physical alterations to the DNA structure of an organism, which can lead to mutations and various diseases if not repaired.

Replicating

The process of copying or reproducing something. In the context of biology, it often refers to the duplication of DNA molecules.