Shoppers Were Asked Where They Do Their Regular Grocery Shopping

question 85

Essay

Shoppers were asked where they do their regular grocery shopping. The table below shows the responses of the sampled shoppers. We are interested in determining if the proportions of females in the three categories are different from each other.
a.Provide the null and the alternative hypotheses.
b.Determine the expected frequencies.
c.Compute the sample proportions.
d.Compute the critical values (CV_ij).
e.Give your conclusions by providing numerical reasoning.

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Definitions:

Returns to Scale

The change in output resulting from a proportional change in all inputs, where increases can be constant, increasing, or decreasing.

Long-Run Average Cost

The average cost per unit of output where all inputs, including capital, are variable in the long term.

Marginal Cost

The costs entailed in generating an extra unit of a product or service.

Economies of Scale

The reduction in per-unit production costs resulting from an increase in the scale of production.