If we take a random sample and get a test statistic of zero, what can we conclude? Which of the following statements are true? Select all true statements

Without the specific statements to select from, it's hard to provide a direct answer. However, I can tell you generally what a test statistic of zero might indicate.

1. The sample mean is equal to the population mean: A test statistic of zero often indicates that there is no difference between your sample statistic and the hypothesized population parameter. In other words, your sample is perfectly representative of the population.

2. The null hypothesis may be true: In hypothesis testing, a test statistic of zero often suggests that the null hypothesis may be true. This is because the null hypothesis usually posits no effect or no difference.

3. The p-value will be large: A test statistic of zero will usually result in a large p-value. This means that you would not reject the null hypothesis, as the observed data is quite consistent with the null hypothesis.

4. There is no effect size: A test statistic of zero suggests that there is no effect size. That is, the variable or condition you're testing likely has no effect on the outcome.

Remember, these are general statements and the specific conclusion you can draw from a test statistic of zero can depend on the context of the test and the specific hypothesis you're testing.