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An analyst at a local bank wonders if the age distribution of customers coming for servicC3:AC13e at his branch in town is the same as
An analyst at a local bank wonders if the age distribution of customers coming for servicC3:AC13e 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 : | |||||||||||||||||||||||||||
Age | |||||||||||||||||||||||||||
less than 30 | 30-55 | 56 or older | Total | ||||||||||||||||||||||||
In town | 25 | 37 | 38 | 100 | |||||||||||||||||||||||
mall | 30 | 48 | 22 | 100 | |||||||||||||||||||||||
Total | 55 | 85 | 60 | 200 | |||||||||||||||||||||||
What is the null hypothesis if you want to check if the age patterns of customers are independent of bank location? | |||||||||||||||||||||||||||
There is no significant difference between the age group of customers and bank location. | |||||||||||||||||||||||||||
What are the expected numbers for each cell in a 3 by 3 table if the null hypothesis is true? | |||||||||||||||||||||||||||
Age | |||||||||||||||||||||||||||
less than 30 | 30-55 | 56 or older | Total | ||||||||||||||||||||||||
In town | |||||||||||||||||||||||||||
mall | |||||||||||||||||||||||||||
Total | |||||||||||||||||||||||||||
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. | |||||||||||||||||||||||||||
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