38. Technology adoption. The Pew Internet & American Life Project (www.pewinternet.org/) conducts surveys to gauge how the Internet and technology impact daily life of individuals, families, and communities. In a recent survey Pew asked respondents if they thought that computers and technology give people more or less control over their lives.

Companies that are involved in innovative technologies use the survey results to better understand their target market.

One might suspect that younger and older respondents might differ in their opinions of whether computers and technology give them more control over their lives. A subset of the data from this survey (February-March 2007 Tracking Data Set) shows the mean ages of two groups of respondents, those who reported that they believed that computers and technology give them “more” control and those that reported “less” control.

a) Write the null and alternative hypotheses.

b) Find the 95% confidence interval for the difference in mean age between the two groups of respondents.

c) Is there a significant difference in the mean ages between these two groups? Explain.

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Group N Mean StDev Min Q1 Med Q3 Max More 74 54.42 19.65 18 41.5 53.5 68.5 99.0 Less 29 54.34 18.57 20 41.0 58.0 70.0 84.0