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
