Random samples of people aged 15€“24 and of people aged 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, or other.
(i) Make a cluster bar graph showing the percentages in each age group who selected each method.
(ii) Test whether the two populations share the same proportions of preferences for each type of communication method. Use α = 0.05.

Please provide the following information:
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a)€“(c), will you reject or fail to reject the null hypothesis of independence?
(e) Your conclusion in the context of the application.
Use the expected values E to the hundredths place.

Transcribed Image Text:

Preferred Communication Method Instant Row Cell Phone Message E-mail Other 15-24 25-34 Column Total 48 41 89 40 30 70 5 15 20 Total 100 100 200 14 21