Which of the following are correct?

(A) A statistical hypothesis is a statement about the population parameter which may be true or false.
(B) In a statistical hypothesis testing procedure, a Type I error is made when the null hypothesis is accepted when it is false.
(C) In a statistical hypothesis testing procedure, a Type II error is made when the null hypothesis is rejected when it is true.
(D) The number of degrees of freedom of a statistic is the number of independent variates used to compute that statistic.

Choose the correct answer from the options given below:

(A) and (D) only

The correct answer is Option (2) → (A) and (D) only

(A) Correct: A statistical hypothesis is a statement regarding a population parameter, such as the mean or proportion, which can be tested and may be true or false based on sample data.

(B) Incorrect: A Type I error occurs when the null hypothesis ($H_0$) is rejected even though it is actually true. The statement in (B) reverses this definition.

(C) Incorrect: A Type II error occurs when the null hypothesis ($H_0$) is not rejected when it is actually false. The statement in (C) incorrectly describes it as rejecting $H_0$ when it is true.

(D) Correct: The degrees of freedom of a statistic, such as the sample variance, is the number of independent observations used in its calculation minus the number of parameters estimated. This represents the number of independent variates contributing to the statistic.