Sorry my mistake. P-value will not be 2*0.107 because distribution is not symmetric. Binomial distribution is perfectly symmetric when p = 0.5 which is not in this case.
I just performed this test in a software and it's showing me a p-value of 0.14
Not sure how it calculated! But you need not worry about this because it's beyond the course.
Cheating is what she did in this question! She put the blame on audience that they transmitted wrong answers to her.
So to prevent this, interviewer could've specified the alternative hypothesis as
"p > 0.2" before the experiment so that there's no rejection region on the left side of mean. Now in order to justify her claim, she has to give at least 5 correct answers.
Last edited by a moderator: Sep 19, 2014