Stats 217 Investigation 2

# Stats 217 Investigation 2 - Joe Cremen Stats 217...

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Joe Cremen Stats 217 9/27/11 Investigation 2 Investigation 2 1. a. Observational units: Participants b. Variable measured: Which candidates face looks more competent. Categorical variable c. 0.72 d. How competent a candidates face looks has no reflection on his or her chances of winning. e. There is sufficient evidence to suggest that the “competent face” method would correctly predict the election winner more often than not. The p-value is 0.012 which is a very small p-value. Researchers consider a p-value this small to be convincing evidence that there is something going on here besides random chance. f. Assuming that a face voted more competent than the other is equally likely to win, if we were to observe 1,000 repetitions of 32 coin tosses, we would observe the competent face winning 23 out of 32 elections about 1.2% of the time. g. After conducting a simulation of 33 coin tosses repeated 1,000 times I have found very interesting results. Heads represents to candidate that was voted to look more competent. If the more competent looking face were to have an equal chance of winning

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