Suppose a marketing research firm would like to examine if the social networking

Question

Suppose a marketing research firm would like to examine if the social networking site that a person primarily uses is influenced by his or her age. In a randomly drawn sample, 371 social network users were asked which site they primarily visited. These data are presented in the following table along Complete parts a. through c. below H_0: Age group and social networking site are independent of one another H_1: The age group affects the social networking site. B. H_0: Age group and social networking site are independent of one another H_1: The age group affects the social networking sites used affects the age group. C. H_0: Age group and social networking site are independent of one another H_1: The age group and social networking site and independent of one another. D. H_0: Age group and social networking site are independent of one another H_1: The age group and social networking site are not independent of one another. Calculate the chi-square test statistic. If necessary, combine age groups X^2 =

Explanation / Answer

Here we are interested to test

H0: Age group and social networking sites are independent of each other ag.

H1 : They are not independent.

Now we carry out the chi-square test for independence.

We see that for age group 2-17 and site C and for age group 65+ and site B the frequency is less than 5 which is the minimum frequency required to be able to carry out a chi-square test.

Thus we merge the first two and last two age group and obtain a 2x3 contingency table as follows:

The Pearson's Chi square statistic is given as: 6.07 with 2 d.f.

The p-value of the test is 0.048(<0.05). Thus we reject H0 at 5% l.o.s. and conclude that age group and social networking sites are independent of one another.

Age Group Site A Site B Site C 2-34 26+125=151 14+25=39 3+14=17 35+ 91+27=118 17+4=21 18+7=25

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