A marketing director for a beverage company conducted a study to investigate people’s soda preferences in two regions of the country. The director selected a random sample of 100 people from the east coast and a random sample of 100 people from the west coast to survey. The responses are summarized in the following table. East Coast West Coast Regular soda 4444 3737 Diet soda 3939 4242 No preference 1717 2121 Total 100100 100100 Do the data provide convincing statistical evidence, at the level of α=0.05α=0.05, that the preferences are different between the two regions of the country? Complete the appropriate inference procedure to support your answer.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A marketing director for a beverage company conducted a study to investigate people’s soda preferences in two regions of the country. The director selected a random sample of 100 people from the east coast and a random sample of 100 people from the west coast to survey. The responses are summarized in the following table.
|
|
East Coast |
West Coast |
|
Regular soda |
4444 |
3737 |
|
Diet soda |
3939 |
4242 |
|
No preference |
1717 |
2121 |
|
Total |
100100 |
100100 |
Do the data provide convincing statistical evidence, at the level of α=0.05α=0.05, that the preferences are different between the two regions of the country? Complete the appropriate inference procedure to support your answer.
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