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 Instant Message Row Total Age Cell Phone Email Other 15-24 48 40 6. 100 25-34 39 29 16 16 100 Column Total 87 69 22 22 200

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(ii) Test whether the two populations share the same proportions of preferences for each type of communication method. Use α = 0.05.

(a) What is the level of significance?
 
(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.)
 
What are the degrees of freedom?
 
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
Instant Message
Row Total
Age
Cell Phone
Email
Other
15-24
48
40
6.
100
25-34
39
29
16
16
100
Column Total
87
69
22
22
200
Transcribed Image Text: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 Instant Message Row Total Age Cell Phone Email Other 15-24 48 40 6. 100 25-34 39 29 16 16 100 Column Total 87 69 22 22 200
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