Shoppers Were Asked Where They Do Their Regular Grocery Shopping

question 97

Essay

Shoppers were asked where they do their regular grocery shopping. The table below shows their responses of the sampled shoppers. We are interested in determining if the proportions females in the three categories are different from each other.
$\begin{array}{|l|r|r|r|r|}\hline \text { Gender } & \begin{array}{r}\text { Grocery } \\\text { chain }\end{array} & \begin{array}{r}\text { Discount } \\\text { store }\end{array} & \begin{array}{r}\text { Membership } \\\text { warehouse }\end{array} & \text { Total } \\\hline \text { Female } & 230 & 80 & 100 & 410 \\\hline \text { Male } & 80 & 50 & 60 & 190 \\\hline \text { Total } & 310 & 130 & 160 & 600 \\\hline\end{array}$
a. Provide the null and the alternative hypotheses.
b. Determine the expected frequencies.
c. Compute the sample proportions.
d. Compute the critical values CVij).
e. Give your conclusions by providing numerical reasoning.

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Definitions:

Derived Characters

Attributes in organisms that are passed down from a common ancestor.

Organisms

Living entities that can carry out life processes independently or in a colony, such as animals, plants, and bacteria.

Phylogeny

The evolutionary history and relationship of an organism or group of organisms.

Evolutionary Relationships

The connections among species or groups of organisms that arise from a common ancestor, elucidated through the study of physical characteristics, genetics, and comparative anatomy.