Question

In: Statistics and Probability

You have been hired to test whether the demand for a product that your client produces varies between two demographic markets – the Urban and Rural markets.


You have been hired to test whether the demand for a product that your client produces varies between two demographic markets – the Urban and Rural markets.

As such, in each market, you run a short survey that gauges customers demand for your product and assigns them to one of three categories – (i) High (ii) Mediumor (iii) Low.

You survey 70 people in the “Urban” market and find that their demand falls into the following “buckets”

High                      32

Medium               20

Low                       18

You survey 30 people in the “Rural” market time. Their demand for the product its reflected below.

High                      8

Medium               10

Low                      12

The Null hypothesis that you are asked to test is that "the demand for the product is INDEPENDENT of the whether the market is Urban or Rural.”

Under this null hypothesis, what is the EXPECTED NUMBER OF PEOPLE THAT WILL ANSWER "LOW" in the RURAL Market? What is the EXPECTED NUMBER OF PEOPLE THAT WILL ANSWER "HIGH" ?

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