Let Y be a random

variable.

Consider the following hypothesis test:

Upper H 0 : Upper E left parenthesis Upper Y right parenthesis equals mu Subscript Upper Y comma 0

Upper H 1 : Upper E left parenthesis Upper Y right parenthesis not equals mu Subscript Upper Y comma 0

Where

Upper H 0

is the null hypothesis and

Upper H 1

is the alternative hypothesis.

Which of the following statements are true about the null and alternative hypothesis? (Check all that apply.)

A.

If the null hypothesis is accepted the statistician declares it to be true and the alternative false. If the null hypothesis is rejected the statistician declares it to be false and the alternative true.

B.

The null hypothesis is that the population mean E(Y) takes on a specific value whereas the alternative hypothesis specifies what is true if the null hypothesis is not.

C.

Hypothesis testing entails using data to provide sufficient evidence against both the null and alternative hypothesis.

D.

Hypothesis testing entails using data to provide sufficient evidence in favor of both the null and alternative hypothesis.

E.

Hypothesis testing entails using data to provide sufficient evidence against the null hypothesis and in favor of the alternative hypothesis