A psychology instructor gave a fivequestion truefalse quiz t

A psychology instructor gave a five-question true-false quiz to her class of 178 students. The results were as follows. The instructor thinks that the students may have answered the questions by guessing, so that the probability that any given answer is correct is 0.5. Under the null hypothesis, the number correct answers has a binomial distribution with 5 trials and success probability 0.5. Perform a chi-square test of this hypothesis. Can you reject H0 at the level?

Solution

Sol)

please send the data

Fit find the expected values using binomial distribution

then apply apply chisquare goodness of fit