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An analyst at a local bank wonders if the age distribution of customers coming for service at his branch in town is the same as
An analyst at a local bank wonders if the age distribution of customers coming for service at his branch in town is the same as at a branch located near the mall. He selects 100 transactions at random from each branch and researches the age information for the associated customer. These are the data :
What is the null hypothesis if you want to check if the age patterns of customers are independent of bank location? |
What are the expected numbers for each cell in a 3 by 3 table if the null hypothesis is true? |
Use the chi square test to accept or reject the null hypothesis. What is the chi square test statistic? |
What is the chi square critical value and how many degrees of freedom does it have? Assume alpha is .05. |
What do you conclude? |
Age | ||||
less than 30 | 30-55 | 56 or older | Total | |
In town | 20 | 40 | 40 | 100 |
mall | 30 | 50 | 20 | 100 |
Total | 50 | 90 | 60 | 200 |
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