Question

In: Statistics and Probability

A sales manager for a company is concerned about possible differences in the popularity of his...

A sales manager for a company is concerned about possible differences in the popularity of his product in Western and Eastern Canada. In order to develop a marketing strategy, a survey of possible customers was conducted in each of these regions.

West (x) Sample Size 600, Number who prefer the product 283

East (y) Sample Size 550, Number who prefer the product 218

  1. (a) Is the product's popularity different for these two regions? Test at a = 0.05.

  2. (b) Estimate the difference in the proportion of people in western and eastern Canada who

    prefer the product using a 95% confidence interval.

Solutions

Expert Solution

Let denote the proportions of people who prefer the product in West and East region respectively.

a)

b)

orchestra answered 1 year ago
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