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Example 5.1 Most people are right-handed, and even the right eye is dominant for most people. In a 2003 study reported in Nature, a German bio-psychologist conjectured that this preference for the right side manifests itself in other ways as well. In particular, he investigated if people have a tendency to lean their heads to the right when kissing. The researcher observed kissing couples in public places and recorded whether the couple leaned their heads to the right or left. (We’ll assume this represents a randomly selected representative sample of kissing couples.)

 

The parameter of interest in this study is the population proportion of kissing couples who lean their heads to the right. Denote this unknown parameter θ; our goal is to estimate θ based on sample data.

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