Hypothesis Testing

When we do a hypothesis test we can

• reject the null hypothesis or fail to reject the null hypothesis

• fail to reject the null hypothesis or accept the alternative hypothesis

• reject the null hypothesis or accept the null hypothesis

• reject the alternative hypothesis or accept the alternative hypothesis

What is the null hypothesis for covariate 1 in the summary for a linear model?

• H_0: beta_1 = 0

• H_0: beta_1 is not 0

• H_0: beta_0 = 0

• H_a: beta_1 = 0

If p-value for our hypothesis test is 0.1,

• we reject the null hypothesis

• we fail to reject the null hypothesis

• There is not enough information here.

If p-value for our hypothesis test is 0.01,

• we reject the null hypothesis

• we fail to reject the null hypothesis

• There is not enough information here.

If p-value for our hypothesis test is 0.001,

• we reject the null hypothesis

• we fail to reject the null hypothesis

• There is not enough information here.

A researcher selects an alpha level of 0.05. If p-value for our hypothesis test is 0.01,

• we reject the null hypothesis

• we fail to reject the null hypothesis

• There is not enough information here.

A researcher selects an alpha level of 0.05. If p-value for our hypothesis test is 0.01,

• we reject the null hypothesis

• we fail to reject the null hypothesis

• There is not enough information here.

When testing whether a covariate in a linear model is signigicant, either t_test statistics or p-values can be used to test the alternative hypothesis.

• True

• False

• Maybe?

When testing whether a covariate in a linear model is signigicant, either t_test statistics or p-values can be used to test the null hypothesis.

• True

• False

• Maybe?

When testing a hypothesis using a test statistic, we need a critical value in order to decide whether to reject or fail to reject H_0.

• True

• False

• Who uses statistics?