Random samples of people ages 15−24 and of people ages 25−34 were asked about their preferred method of (remote) communication with friends. The respondents were asked to select one of the methods from the following list: cell phone, instant message, e-mail, other.   Preferred Communication Method   Age Cell Phone Instant Message Email Other Row Total 15-24 39 45 7 9 100 25-34 46 27 13 14 100 Column Total 85 72 20 23 200 (         (ii) Test whether the two populations share the same proportions of preferences for each type of communication method. Use α = 0.05. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Random samples of people ages 15−24 and of people ages 25−34 were asked about their preferred method of (remote) communication with friends. The respondents were asked to select one of the methods from the following list: cell phone, instant message, e-mail, other.

  Preferred Communication Method  
Age Cell Phone Instant Message Email Other Row Total
15-24 39 45 7 9 100
25-34 46 27 13 14 100
Column Total 85 72 20 23 200
(
   
   
(ii) Test whether the two populations share the same proportions of preferences for each type of communication method. Use α = 0.05.


(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
 
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