Question

A subject is presented with three cups, two of which contain the same brand of cola and one of which contains a different brand. The subject is to identify which one of the three cups contains a different brand of cola than the other two. We wish to determine if the subject will perform better than randomly guessing over 75 trials. (Use 4 decimal places for all calculations)

a) H_0 is pi =

H_a is pi >   

b) n*pi =  and n*(1-pi) =  . Is the CLT valid? (yes/no)

Suppose the subject guessed correctly 31 times.

c) Calculate the test statistic =  (this answer only 2 decimal places)

d) Calculate the p-value =

e) If alpha = .05, would you reject o fail to reject the null?

Answer 1

Hence, there is not enough evidence to conclude that the subject will perform better than randomly guessing over 75 trials at 5% level of significance.