Students in a Statistics Class Were Asked Which of Three $p$

Students in a statistics class were asked which of three lifetime achievements they would most like to win: a Nobel Prize, an Academy Award, or an Olympic Gold Medal. Results were that 17 students chose the Nobel Prize, 10 chose the Academy Award, and 18 chose the Olympic Gold Medal. Consider these students as a random sample of students at their university. Conduct a chi-square goodness-of-fit test of whether these sample data provide evidence to believe that the three choices are not equally likely in the population. Be sure to report and show the details of your calculations for
- $p$ -value

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