Fill in these blanks with the frequencies expected if the two variables, type of potential customer and choice of service plan feature, are independent.

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ClairLinx Wireless, a start-up cell phone company, has divided its market of potential customers into three major groups: single, working; married, working; and retired. ClairLinx surveyed 500 potential customers and asked each, "Of the following, which do you consider to be the most important feature in a cell phone service plan: free nights and weekends, free long distance and roaming, or free calls to customers with the same company?"

 

Each of the 500 potential customers in the survey was categorized according to the service plan feature she considers most important and the customer group in which she appears. The data are summarized in the contingency table below. In the cells of the table are the respective observed frequencies, and three of the cells also have blanks. Fill in these blanks with the frequencies expected if the two variables, type of potential customer and choice of service plan feature, are independent.

 

Round the responses to at least two decimal places. 

Note:  The ones with the blank lines are the ones I need help with....23,32, and 84...thanks for your help

 

 

 

CHOICE OF SERVICE PLAN FEATURE

  Free Calls to other customers Free nights and weekends Free long distance and roaming Total  
Single, working

     23

    _____

49

    84

    ______

   156  
Married, working       44          63        87    194  
Retired       29

       32

     _____

       89    150  
Total      96      144     260       500  
           
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