Shoppers Were Asked Where They Do Their Regular Grocery Shopping

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.