What are the two decisions that you can make from performing a hypothesis test?

what are the two decisions that you can make from performing a hypothesis test? select all that apply.

reject the alternative hypothesis

reject the null hypothesis

fail to reject the null hypothesis

make a type 1 error

accept the null hypothesis

accept the alternative hypothesis

make a type 2 error

fail to reject the alternative hypothesis

General guidance

Concepts and reason
A hypothesis test examines two opposing hypotheses about a population: the null hypothesis and the alternative hypothesis. The null hypothesis is the statement being tested.

Fundamentals

The null hypothesis is a statement of "no effect" or "no difference". The alternative hypothesis is the statement you want to be able to conclude is true.

Step-by-step

Step 1 of 2

The null hypothesis is tested using critical value approach and P-value approach.

From critical value approach, the decision rule is to reject null hypothesis if the test statistic value falls in the critical region.

From P-value approach the null hypothesis is rejected if the probability value of test is less than the level of significance value.

The critical values are found based on the type of tail of test. The tail of the test depends on the alternative hypothesis.

Step 2 of 2

The decision rules that are used when performing a hypothesis test are,

• Reject Null hypothesis.

• Fail to reject null hypothesis.

The decision rules are,

• Reject Null hypothesis.

• Fail to reject null hypothesis.

The decision rule is made on null hypothesis whether to reject it or to fail to reject it.