Question

Please write “true” if the statement is true and “false” is the statement is false in the space provided:

______ 1. A statistical hypothesis test tests the null hypothesis rather than the researcher’s hypothesis

______ 2. In most research situations, the goal is to reject the researcher’s hypothesis

______ 3. A decision to reject the null hypothesis means that the data do provide evidence of a treatment effect: the independent variable did have an effect on the dependent variable

______4. If the data provide convincing evidence that the treatment does have an effect, then the correct statistical decision is to reject the null hypothesis

______5. For a hypothesis test, the critical region is defined as the set of test statistics that are very unlikely (very low probability) of being obtained if the null hypothesis is true

______ 6. If the obtained sample data (test statistic value) is inside the critical region, then we have provided support for the null hypothesis

______ 7. When the Z-test statistic, obtained from the sample data, falls inside the critical region, we reject the null hypothesis

Answer 1

1. TRUE

A statistical hypothesis test tests the null hypothesis rather than the researcher’s hypothesis.

Yes, we try to find evidence in support/ to reject the null hypothesis.

2. FALSE

In most research situations, the goal is to reject the researcher’s hypothesis

No, our objective generally is to find evidence against the null hypothesis, so we can accept the researcher's hypothesis.

3. TRUE

A decision to reject the null hypothesis means that the data do provide evidence of a treatment effect: the independent variable did have an effect on the dependent variable

The independent variable does have an impact on the dependent variable in case we reject the null hypothesis or statement of no effect.

4. TRUE

If the data provide convincing evidence that the treatment does have an effect, then the correct statistical decision is to reject the null hypothesis

Yes, if there is evidence then we reject the null hypothesis in favour of the alternative.

5. FALSE

For a hypothesis test, the critical region is defined as the set of test statistics that are very unlikely (very low probability) of being obtained if the null hypothesis is true

if the null hypothesis is false, not true.

6. FALSE

If the obtained sample data (test statistic value) is inside the critical region, then we have provided support for the null hypothesis

7. TRUE

When the Z-test statistic, obtained from the sample data, falls inside the critical region, we reject the null hypothesis

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