Question

A researcher is interested in determining if a psychic really has power to predict. The researcher takes four cards, each of a different type: king, queen, jack, and ace. After mixing up the cards many times and he selects one card without showing the psychic. The researcher asks the psychic which card was selected. The researcher records if the psychic was correct or not. The researcher does this two hundred times. If the psychic really has special abilities then he should pick the correct card more often then if it was by chance alone. The researcher is interested in determining if the card was identified correctly significantly more often then chance would suggest. What would be the null and alternative hypothesis for this case

Answer 1

It can be deduced that the null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

What is the null hypothesis?

It should be noted that null and alternate hypothesis are written based on the population parameter.

From the information given, the claim is that they card was identified significantly more than chance would suggest. The proportion of card selected will be:

= 1/4 = 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

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