A Wine Magazine Wants to Know If Chefs Can Tell

question 65

Multiple Choice

A wine magazine wants to know if chefs can tell the difference between duck liver pâté and wet dog food.Eighteen chefs were asked to rate both the pâté and dog food on a scale from 1 to 5,with 1 corresponding to "inedible" and 5 to "very tasty." The results are shown in the following table. To determine if there are differences in preferences between pâté and dog food using the sign test,the competing hypotheses are ______________.

• A) H₀: p = 0.5;H_A: p ≠ 0.5
• B) H₀: p ≥ 0.5;H_A: p < 0.5
• C) H₀: p ≤ 0.5;H_A: p > 0.5
• D) H₀: p ≠ 0.5;H_A: p = 0.5

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Definitions:

Normal Random Variable

A variable that is distributed in a way that fits the normal (Gaussian) distribution, characterized by its mean and standard deviation.

Mean

The average of a set of numerical values, calculated by adding them together and dividing by the number of values.

Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of data values from the mean.

Normal Probability Distribution

Also known as the Gaussian distribution, it's a bell-shaped curve that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.