Studies have shown that people with high intelligence are generally more likely to volunteer as participants in research, but not for research that involves unusual experiences such as hypnosis. To examine this phenomenon, a researcher administers a questionnaire to a sample of college students. The survey asks for the student’s grade point average (as a measure of intelligence) and whether the student would like to take part in a future study in which participants would be hypnotized. The results showed that 7 of the 10 lower-intelligence people were willing to participant but only 2 of the 10 higher-intelligence people were willing.
a. Convert the data to a form suitable for computing the phi-coefficient. (Code the two intelligence categories as 0 and 1 for the X variable, and code the willingness to participate as 0 and 1 for the Y variable.)
b. Compute the phi-coefficient for the data.
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