In a criminal jury trial, one option is to declare the defendant "not guilty". In a hypothesis test this is equivalent to which conclusion? Choose the correct answer below. A. Reject the null hypothesis. B. Accept the null hypothesis as true. C. Fail to reject the null hypothesis.

C. Fail to reject the null hypothesis.

Step-by-step explanation:

The defendant is assumed innocence at start of trail so the null hypothesis will be that he defendant is not guilty. In hypothesis testing we don't accept the null hypothesis but we fail to reject the null hypothesis. For explanation consider the testing of single population mean. When we accept the null hypothesis it means that population mean is equal to specified value but for various population means the same result can occur. Now in the given scenario if the defendant is declared as "not guilty" it would not mean that person is really not guilty but the evidence suggests that person is not guilty so, we fail to reject the null hypothesis.

The correct answer is C. In a hyphotesis test this is equivalent to fail to reject the null hyphotesis.

Step-by-step explanation:

A null hypothesis is a statement on the probability distribution of one or more random variables. By null hypothesis is meant the statement that there is no difference or there is no relationship between two measured phenomena, or association between two groups. It is usually assumed true until evidence is found that refutes it.

If you reject a null hypothesis which in reality is true then you say that you made a mistake of the first kind (or false positive). By accepting instead a false null hypothesis, you make a second type error (or false negative).