Preferences for the Type of Diet Drink from a Random

question 89

Multiple Choice

Preferences for the type of diet drink from a random sample of 121 shoppers are in the table below. A researcher is interested in determining if there is a relationship between the type of diet drink preferred and the age of the shoppers. $$\begin{array} { l l | r | r | r } & & \text { Under } 25 & 25 \text { and Older } & \text { Total } \\\hline \text { Diet Pepsi } & \text { Observed } & 10 & 60 & 70 \\& \text { Expected } & 21.40 & 48.60 & 70.00 \\& \% \text { of chisq } & 28.6 \% & 12.6 \% & 41.3 \% \\\hline \text { Diet Coke } & \text { Observed } & 18 & 14 & 32 \\& \text { Expected } & 9.79 & 22.21 & 32.00 \\& \text { \% of chisq } & 32.5 \% & 14.3 \% & 46.8 \% \\\hline \text { Diet Sprite } & \text { Observed } & 9 & 10 & 19 \\& \text { Expected } & 5.81 & 13.19 & 19.00 \\& \% \text { of chisq } & 8.3 \% & 3.6 \% & 11.9 \% \\\hline \text { Total } & \text { Observed } & 37 & 84 & 121 \\& \text { Expected } & 37.00 & 84.00 & 121.00 \\& \% \text { of chisq } & 69.4 \% & 30.6 \% & 100.0 \% \\& & & & \\& & 21.21 \text { chi-square } &\end{array}$$ What can you conclude for the data analysis at ? = .05?

• A)The means are equal for all three groups.
• B)There is insufficient evidence to conclude that the type of drink and age are dependent.
• C)Conclude that the type of drink and age are dependent.
• D)No conclusion is possible without knowing the p-value.

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Definitions:

Precocious Puberty

A serious condition that involves the activation of the HPG axis before the age of 8 in girls and 9 in boys.

HPG Axis

The hypothalamic-pituitary-gonadal axis, a system of hormone interactions that regulate reproductive and sexual development.

Secular Trend

A pattern in which the average age of puberty in developed countries declines across decades.

Growth Hormone

A protein hormone secreted by the pituitary gland that stimulates growth, cell reproduction, and regeneration in humans and other animals.