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One of my friends was bragging that he could distinguish between Coke and Pepsi drinks just by taste. So I challenged him to taste drinks from 10 glasses and identify them as a Pepsi or a Coke. In five of the ten randomly arranged glasses, I had poured Pepsi and Coke in the remaining. He could correctly identify the drinks in seven out of the 10 glasses (C = 7, where C means correctly identified).

Now I am trying to analyze the result; however, I am not clear on two issues.

1. What should be the null hypothesis in this experiment, C = 0 or C = 10?

2. Which distribution to use? My guess is that I should be using a binomial distribution for this experiment, as there are only two outcomes for each trial. If that is correct, how do I find the p value of the experiment?

I know that the binomial distribution is a special case of the normal distribution, but not sure whether should I use the critical value tables for the normal distribution or t-distributions.

Thanks,

MG

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# Tasting experiment

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