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Preferences for the Type of Diet Drink from a Random

question 55

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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.  Under 2525 and Older  Total  Diet Pepsi  Observed 106070 Expected 21.4048.6070.00% of chisq 28.6%12.6%41.3% Diet Coke  Observed 181432 Expected 9.7922.2132.00% of chisq 32.5%14.3%46.8% Diet Sprite  Observed 91019 Expected 5.8113.1919.00 % of chisq 8.3%3.6%11.9% Total  Observed 3784121 Expected 37.0084.00121.00 % of chisq 69.4%30.6%100.0% 21.21 chi-square \begin{array}{l}\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 \%\end{array}\\\text { 21.21 chi-square }\end{array} In performing a chi-square test of independence on these data, how many degrees of freedom will the test statistic have?

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Celebrity

A person who is widely recognized in society and often has a considerable influence due to their fame or public attention.

Genetic Basis

Genetic basis involves the fundamental role of genes and DNA in determining the characteristics and traits of an organism.

Biological Theories

Biological theories suggest that biological factors such as genetics, nerve cell functioning, and neurotransmitter imbalances play a crucial role in human behavior and mental processes.

Psychoanalytic Theories

A set of theories originating from the work of Sigmund Freud, which focus on the unconscious mind, childhood experiences, and how these influence behavior and personality.

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