A researcher is interested in whether people have psychic abilities (ESP). He conducts an ESP experiment in which a person guesses which of 4 cards the researcher has randomly picked. This process of guessing which of the 4 cards the researcher has randomly picked is repeated for 200 trials. If the person is just guessing, that is, they do not have ESP then they will guess the correct card about 25% of the time. If a person had ESP they should pick the correct card more often. The null hypothesis is that the person is guessing at random, while the alternative hypothesis is that the person has ESP. The significance level is 0.05.
What is the alternative hypothesis for testing whether or not the person has ESP?
A.
HA: p = 0.25
B.
HA: p = 0.5
C.
HA: p > 0.25
D.
HA: p > 0.5
C. HA: p > 0.25
C. HA: p > 0.25
The alternative hypothesis for testing whether or not the person has ESP is Option D.
HA: p > 0.5
In this case, "p" represents the proportion of correct guesses the person makes out of the 200 trials. The alternative hypothesis suggests that the person with ESP would have a proportion of correct guesses greater than 0.5, indicating a higher than random chance of correctly guessing the card chosen by the researcher.