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Follow-up analysis #1 In his book Statistics You Can't Trust, Steve Campbell claims that people pick heads 70% of the time when they're asked to predict the outcome of a coin toss. 12. Use the theory-based approach to test Campbell's claim based on the sample data used above (your class combined with author's class) using a two-sided alternative. Report the null and alternative hypothesis, standardized statistic, and p-value. Summarize your con- clusion and explain the reasoning process by which it follows from your analysis. Follow-up analysis #2 In a small class of eight students, seven students picked heads when given the choice between heads and tails. 3. Use simulation to generate a two-sided p-value evaluating the strength of evidence the the long-run proportion of students picking heads is different than 50% based on this small class's data alone. 14. Why can't you use the normal approximation in this case? 15. Use the normal approximation anyway. Compare and comment on the p-values obtained from the two methods