STAT T/F

If a null hypothesis is rejected against an alternative at the 5% level, then using the same data, it must be rejected against that alternative at the 1% level.

False

The p-value of a test is the probability that the null hypothesis is true.

False

The significance level (a) of a test is the probability that the null hypothesis is false.

False

When conducting hypothesis testing comparing the means of two populations, if the sample sizes for the two populations are the same, we call them matched pair of samples.

False

When we decrease the probability of a Type 1 error (i.e. reduce the value of a), we also decrease the probability of a Type 2 error.

False

You accept a null hypothesis when the test statistic does not fall in the rejection region.

False

A Type 1 error occurs when a true null hypothesis is rejected

True

A Type 2 error occurs when a false null hypothesis is not rejected.

True

A null hypothesis is rejected at the 0.05 level of significance but is not rejected at the 0.01 level of significance. This means that the p-value of the test is between 0.01 and 0.05

True

If a null hypothesis is rejected against an alternative at the 1% level then using the same data, it must be rejected against the alternative at the 5% level.

True