Technology companies compete to put their products in the hands of consumers. A main point of competition

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Technology companies compete to put their products in the hands of consumers. A main point of competition is the market for smartphones, phones capable of acting like a small computer complete with spreadsheets, daily planners, address books, and, of course, games. Major competitors include the iPhone, Blackberry, and various phones using Google€™s Android and Microsoft€™s Windows operating systems. To keep up with the market, media watch companies such as Nielsen watch for trends and collect large surveys of consumer preferences. A survey of about 9,000 consumers in late 2010 produced this contingency table.
The table gives a range for the age of the consumer in the survey and shows each consumer€™s next desired smart-phone preference.
Technology companies compete to put their products in the hands

Motivation
(a) What would it mean to find dependence between the age and stated preference?
(b) Why would a company such as Apple or RIM (which makes the Blackberry) be interested in knowing whether the preference for their phone depends on the consumer€™s age?
Method
(c) Verify that the data meets the conditions for the chi-squared test of independence.
(d) What problem is likely if the survey had about 500 consumers?
Mechanics
(e) Compute the test statistic and its p-value.
Message
(f) Show a plot of the data that summarizes the results of the test that emphasizes the different brand preferences within age groups.
(g) Summarize the implications of the test and data.

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