A researcher is interested in determining if a psychic really has power to predi

Question

A researcher is interested in determining if a psychic really has power to predict. The researcher takes six pictures of famous cartoon characters. After mixing the pictures up many times, the researcher selects one picture, but doesn't show the psychic. The psychic is asked to predict which picture the researcher selected. The researcher records if the psychic was correct or not. The researcher does this one hundred times. If the psychic really has special abilities then he should the cartoon character more often then if it was by chance alone. The researcher is interested in determining if the correct character is selected significantly more often then chance would suggest. What would be the null and alternative hypothesis for this case?

Explanation / Answer

H0:Ps=Pu (Population proportion of correct recognition is same as sample proportion of correct recognition)

H1:Ps>Pu (Sample proportion is higher than population proportion)

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