Question

a researcher is interested in determining if a psychic really has power to predict. the researcher takes three cups and puts a ball under one of the cups. after mixing the cups up many times, the researcher asks the psychic which cup has the ball under it. 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 pick the location of the ball more often then if it was by chance alone. the researcher is interested in determining if the correct cup is selected significantly more often then chance would suggest. what would be the null and alternative hypothesis for this case?

Answer 1

$H_0$: p = 0.33 $H_a$: p >0.33 Hypothesis statements are about the population proportion(p), not the sample proportion (p-hat).

By just random chance, someone would pick the cup with the ball under it 1/3 of the time. The researcher in this case is interested in determining if the ball is selected more often than suggested by chance.

What is Hypothesis?

A hypothesis , is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

What is Null Hypothesis and Alternative Hypothesis ?

The null hypothesis and the alternative hypothesis are types of conjectures used in statistical tests, which are formal methods of reaching conclusions or making decisions on the basis of data.

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