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A brand manager is concerned that her brand's share may be unevenly distributed throughout the country. In a survey in which the country was divided

A brand manager is concerned that her brand's share may be unevenly distributed throughout the country. In a survey in which the country was divided into four geographic regions, a random sampling of 100 consumers in each region was surveyed, with the following results:

Region
NE NW SE SW Total
Purchase the brand 40 55 45 50 190
Do not purchase 60 45 55 50 210
Total 100 100 100 100 100

You are asked to perform a Chi Square test to test whether the regions and customers purchasing the brand are independent.

1. State the null and alternative hypotheses.

2. Calculate the Chi Square test statistic.

3. Test the null hypothesis at two appropriate significance levels and write the conclusion statement.

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