Question

Charlie's teacher claims that he does not study and just guesses on exams. on an exam with 201 true-false questions, Charlie answered 53.7% of the questions correctly. Calculations using these results show that if he were really just guessing, there would be roughly one chance and seven that he would do this well. Is there a statistically significant evidence against the teachers claim that Charlie is just guessing? Why or why not?

Answer 1

Explanation:

True-False questions consists of 2 possible answer, which are 50% each, so basically is Charlie was just guessing 201 questions, which means his possibility of getting everything correct is
`(1)/(2^2^0^1)`, which is really small, his chance of getting 53,7% correct is
`(1)/(2^2^0^1 * 0.537)` which is roughly arround
`(1)/(2^2^0^0)`