1. Mrs. Dudley is a grade 9 English teacher who is marking 2 papers that are strikingly similar. She is concerned that one of her students (Greg and Laura) is cheating, but she is not sure which one of the two is guilty.

The null and alternative hypotheses used in hypothesis testing can be translated into a nonnumerical form:

H₀: In the case of the current example, our null hypothesis is that Greg is innocent and did not cheat off Laura.

H₁: In the case of the current example, our alternative hypothesis is that Greg is guilty of cheating off Laura's paper, due to the fact that Greg has been guilty of cheat off other's papers in the past.

Which of the following statements are correct? Justify your answers. A statement True/False with no context will not receive any points:

1. If Mrs. Dudley determines that Greg is not guilty of cheating, but the truth is he is actually guilty then this is a type I error.
2. If Mrs. Dudley determines that Greg is guilty of cheating, but the truth is he is actually innocent this is a type II error.
3. If Mrs. Dudley determines that Greg is guilty of cheating, but the truth is he is actually innocent this is a type I error.
4. If Mrs. Dudley determines that Greg is not guilty of cheating, but the truth is he is actually guilty then this is a type II error.