How to Find P-Value on TI-84 Calculator

Finding the P-value on a TI-84 calculator is necessary to learn for hypothesis testing in statistics. Whether you are a student working on assignments, a teacher explaining concepts, or a researcher analyzing data, the TI-84 makes it possible to calculate P-values quickly and easily.

1. How to calculate P-value using a Z-Test

Use this method when the population standard deviation is known.

1. Press STAT > scroll right to TESTS.
2. Select 1:Z-Test.
3. Scroll right to choose Stats and press Enter.
4. Enter the following data:
   • μ0 = null hypothesis mean
   • σ = population standard deviation
   • x̄ = sample mean
   • n = sample size
5. Choose the test type:
   • ≠ μ0 – two-tailed
   • < μ0 – left-tailed
   • μ0 – right-tailed
6. Scroll to Calculate and press ENTER.
   

2. How to calculate P-value using a T-Test

Use this method when the population standard deviation is unknown and the sample size is small.

1. Press STAT > right to TESTS.
2. Select 2:T-Test.
3. Scroll right to choose Stats and press Enter.
4. Enter the following data:
   • μ0 = null hypothesis mean
   • x̄ = sample mean
   • Sx = sample standard deviation
   • n = sample size
5. Choose your test type.
6. Scroll to Calculate and press ENTER.

Practice these tests on our free web-based TI-84 Plus CE. It has functions to support Z-test and T-test.

3. How to calculate P-value using a Chi-Square Test (on supported models)

Use this method for categorical data tests.

1. Enter data into STAT > EDIT.
   • L1 = observed values
   • L2 = expected values
2. Press STAT > TESTS.
3. Select Chi-Square GOF-Test or x²-Test.
4. Press ENTER.

When Should You Use Each Test?

• Z-Test: When σ is known and sample size is large.
• T-Test: When σ is unknown or sample size is small.
• Chi-Square Test: For categorical data or goodness-of-fit.

What is a P-value?

The P-value measures the probability of observing results as extreme as your sample data, assuming the null hypothesis is true.

• A small P-value (≤ 0.05) suggests strong evidence against the null hypothesis (reject it).
• A large P-value (> 0.05) suggests weak evidence against the null hypothesis (fail to reject it).

In simple terms, the P-value helps you decide whether your data supports the null hypothesis or the alternative hypothesis.

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Final Thoughts

The TI-84 calculator makes hypothesis testing faster by giving you both test statistics and P-values with just a few keystrokes. By mastering the Z-Test, T-Test, and Chi-Square Test functions, you’ll save time and avoid manual errors.