The image describes a fill-in-the-blank question about statistical tests. Here's an explanation of the blanks:

The statement:

A statistical test makes a prediction (hypothesis) about a (Choose one), and then uses a (Choose one) to reject or not reject the hypothesis.

The correct answer should likely be:

1. First Blank: population parameter

   • Statistical tests often aim to make predictions or inferences about population parameters based on sample data.

2. Second Blank: test statistic

   • A test statistic (like a t-value, z-value, etc.) is computed from the data and used to determine whether to reject the null hypothesis.

Thus, the full sentence could read:
A statistical test makes a prediction (hypothesis) about a population parameter and then uses a test statistic to reject or not reject the hypothesis.

Would you like a detailed explanation of how statistical tests work or examples of test statistics?

5 Related Questions:

1. What is the null hypothesis in a statistical test, and how does it differ from the alternative hypothesis?
2. How is the p-value related to rejecting or failing to reject the null hypothesis?
3. Can you explain the difference between one-tailed and two-tailed tests?
4. What are some examples of test statistics used in hypothesis testing (e.g., t-test, chi-square)?
5. What is the role of a significance level ($\alpha$) in hypothesis testing?

Tip:

Always clearly define your null and alternative hypotheses before conducting a statistical test to ensure proper interpretation of the results.