TrueorFalse?

1. In hypothesis testing, if the P-value is 0.01, then there is a 1% probability that the null hypothesis being tested is true.
2. The t* critical value for any given alpha is greater than the z* critical value for finite n.
3. The sample average will vary from sample to sample; its standard error can be estimated from a single sample.
4. A researcher does an experiment and reports a 95% confidence interval for the mean. That means 95% of the time the experiment will produce an interval that contains the population mean.
5. If the null hypothesis is rejected in a test, then this proves that the null hypothesis is false.