Hypothesis Testing Checklist for Singapore JC2 Math Exams

Hypothesis Testing Checklist for Singapore JC2 Math Exams

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Frequently Asked Questions

Define the null and alternative hypotheses clearly. This sets the foundation for the entire test.
Checking assumptions ensures the validity of the test. If assumptions are violated, the results may be unreliable.
Select the appropriate test statistic (e.g., z-test, t-test) based on the sample size, population standard deviation (known or unknown), and the nature of the data.
The significance level (alpha) is the probability of rejecting the null hypothesis when it is actually true (Type I error). Common values are 0.05 or 0.01.
The p-value is the probability of observing a test statistic as extreme as, or more extreme than, the one calculated, assuming the null hypothesis is true. Use statistical tables or calculators to determine the p-value.
If the p-value is less than or equal to the significance level (alpha), reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
Clearly state whether you reject or fail to reject the null hypothesis, and explain what this means in the context of the original problem. Avoid stating that you accept the null hypothesis; instead, say you fail to reject it.