# How to Determine the Conclusion of a Hypothesis Test | Summary and Q&A

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September 20, 2018
by
The Math Sorcerer
How to Determine the Conclusion of a Hypothesis Test

## TL;DR

Learn how to determine the conclusion of a hypothesis test based on the p-value and level of significance.

## Key Insights

• 🏆 The p-value and level of significance (alpha) are essential in determining the conclusion of a hypothesis test.
• ❓ Rejecting the null hypothesis means there is enough evidence to support the alternative hypothesis.
• 🖤 Failing to reject the null hypothesis indicates a lack of evidence to support the alternative hypothesis.

## Transcript

hey everyone in this video we're going to go over how to determine the conclusion of any hypothesis test okay so before we do that there's one key thing we need to know so if you're doing a hypothesis test and your p-value is less than or equal to your alpha that's your level of significance you want to reject H Sub Zero okay and if your p-value is... Read More

### Q: What is the significance of the p-value in a hypothesis test?

The p-value represents the probability of obtaining the observed data or more extreme results if the null hypothesis is true. It is used to determine whether to reject or fail to reject the null hypothesis.

### Q: How does the level of significance (alpha) come into play?

The level of significance, alpha, is predetermined by the researcher and represents the maximum probability of rejecting the null hypothesis when it's actually true. Comparing the p-value to alpha helps determine the conclusion of the hypothesis test.

### Q: What happens if the p-value is less than or equal to the alpha?

If the p-value is less than or equal to the alpha, the null hypothesis is rejected. This implies that there is enough evidence to support the alternative hypothesis.

### Q: What is the conclusion when the p-value is greater than the alpha?

When the p-value is greater than the alpha, the null hypothesis is failed to be rejected. This means there is not enough evidence to support the alternative hypothesis.

## Summary & Key Takeaways

• When the p-value is less than or equal to the level of significance (alpha), the null hypothesis is rejected.

• When the p-value is greater than the level of significance, the null hypothesis is failed to be rejected.

• Rejecting the null hypothesis means there is enough evidence to support the alternative hypothesis, while failing to reject means there is not enough evidence.