Part 4 of 5

Determine whether to reject

*H*0

.

▼(Choose one) the null hypothesis

*H*0

.

To determine whether to reject the null hypothesis (*H*₀), you need to consider the following steps based on your test results:

1. **Set Significance Level (Alpha)**: Determine the significance level (α), often set at 0.05 or 0.01, depending on the test’s strictness.

2. **Calculate or Identify the p-value**: This is the probability of observing a result as extreme as the test statistic under *H*₀.

3. **Compare p-value to Alpha**:
   - **If p-value ≤ α**: Reject *H*₀. This suggests that there is statistically significant evidence to support the alternative hypothesis (*H*₁).
   - **If p-value > α**: Do not reject *H*₀. This suggests insufficient evidence to support *H*₁, so you retain *H*₀.

Would you like further details on this process, or do you have specific data for analysis?

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### Additional Questions to Consider:
1. What significance level (α) is being used in this test?
2. What is the calculated p-value, and how does it compare to α?
3. If rejecting *H*₀, what are the potential implications of this conclusion?
4. How does the sample size impact the reliability of the p-value?
5. Are there any potential sources of error in this hypothesis test?

### Tip:
Always state your hypothesis clearly before testing and ensure that your decision rule (comparing p-value to α) is established upfront to avoid bias in interpretation.

Determine whether to reject the null hypothesis H₀.

Learn how to determine whether to reject the null hypothesis (H₀) using hypothesis testing methods. This guide covers the importance of the significance level (α), p-value calculations, and decision rules in statistical testing. Suitable for college or university-level students studying statistics.

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