When to reject null hypothesis with t test?

Traditionally, the cut-off value to reject the null hypothesis is 0.05, which means that when no difference exists, such an extreme value for the test statistic is expected less than 5% of the time.
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When to reject null hypothesis using t-test?

Determine if the (absolute) t value is greater than the critical value of t. Reject the null hypothesis if the sample's t value is greater than the critical value of t. Otherwise, don't reject the null hypothesis.
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When should we reject the null hypothesis in a test of significance?

If our statistical analysis shows that the significance level is below the cut-off value we have set (e.g., either 0.05 or 0.01), we reject the null hypothesis and accept the alternative hypothesis.
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How do you accept a null hypothesis in t-test?

positive and lower than or equal to the critical value, we must accept the null hypothesis. negative and lower than the critical value, then we have sufficient evidence to reject the null hypothesis and accept the alternative hypothesis.
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When we reject the null hypothesis of no difference at the 0.05 level?

Final answer: If we reject a null hypothesis of "no difference" at the 0.05 level, it indicates that there is evidence to suggest a difference or relationship between the variables being studied, but it does not prove the truth of the research hypothesis.
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Reject or Fail to Reject - Intro to Inferential Statistics

Can we reject the null hypothesis at the 5% level of significance?

In null hypothesis testing, this criterion is called α (alpha) and is almost always set to . 05. If there is less than a 5% chance of a result as extreme as the sample result if the null hypothesis were true, then the null hypothesis is rejected. When this happens, the result is said to be statistically significant.
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Is H0 rejected at the 0.05 level?

When sample statistics occur less than 5%, a significance level of 0.05 suggests that the null hypothesis is to be rejected.
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How to determine if a null hypothesis is rejected?

Rejecting the Null Hypothesis

Reject the null hypothesis when the p-value is less than or equal to your significance level. Your sample data favor the alternative hypothesis, which suggests that the effect exists in the population. For a mnemonic device, remember—when the p-value is low, the null must go!
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How do you reject a null hypothesis in an independent t-test?

If the calculated t value is greater than the critical t value, then we reject the null hypothesis. Note that this form of the independent samples t test statistic assumes equal variances. Because we assume equal population variances, it is OK to "pool" the sample variances (sp).
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When to reject the null hypothesis p-value?

A p-value less than 0.05 is typically considered to be statistically significant, in which case the null hypothesis should be rejected. A p-value greater than 0.05 means that deviation from the null hypothesis is not statistically significant, and the null hypothesis is not rejected.
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Is it okay to fail to reject the null hypothesis?

Failing to reject a null hypothesis means there is no sufficient evidence for the expected or the observed effect. Today, if scientists had accepted null hypotheses, the discovery of plant viruses or the rediscovery of many extinct species would not have been possible.
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At what critical value do you reject the null hypothesis?

The null hypothesis is rejected if the p-value is less than or equal to the specified significance level α . Otherwise, the null hypothesis is not rejected. Note: if p≤α p ≤ α , reject H0 ; otherwise, if p>α , do not reject H0 . Consequently, by knowing the p-value, any desired significance level may be assessed.
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When to use 0.01 and 0.05 level of significance?

And this is exactly it: When we put it that way, saying that we want the probability (of the null hypothesis being true) — called a p-value — to be less than 5%, we have essentially set the level of significance at 0.05. If we want the probability to be less than 1%, we have set the level of significance at 0.01.
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When should the null hypothesis not be rejected?

When your p-value is greater than your significance level, you fail to reject the null hypothesis. Your results are not significant.
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How do you know if t-test is significant or not?

If a p-value reported from a t test is less than 0.05, then that result is said to be statistically significant. If a p-value is greater than 0.05, then the result is insignificant.
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How to use t-test to test hypothesis?

How to perform a t-test
  1. Define your null (Ho ) and alternative (Ha ) hypotheses before collecting your data.
  2. Decide on the alpha value (or α value). ...
  3. Check the data for errors.
  4. Check the assumptions for the test.
  5. Perform the test and draw your conclusion.
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When to reject null hypothesis t-test example?

If the absolute value of the calculated t-statistic is larger than the critical value of t, we reject the null hypothesis.
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How to accept null hypothesis in t-test?

If the t score we compute is between the upper and lower critical values, then we retain the null hypothesis. Thus far, we have considered what is called a two-tailed test, where we reject the null hypothesis if the t score for the sample is extreme in either direction.
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What is the decision rule for rejecting the null hypothesis?

To hold the decision, we should always compare the p-value in the test statistic to the significance level we have chosen to use the test. If the p-value is a smaller amount than the significance level, we'll reject the null hypothesis.
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Do you reject the null hypothesis at the 0.05 significance level?

Similarly, if the value of the significance level is set to 0.05 and the calculated significance probability value is 0.03, the set null hypothesis will be rejected, but if the value of the significance level is set to 0.01, the null hypothesis cannot be rejected.
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What is the correct rejection of the null hypothesis?

In signal detection theory, an instance of failing to detect a signal when the signal is in fact absent. Also called a correct reject.
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When you falsely reject the null hypothesis?

A type I error (false-positive) occurs if an investigator rejects a null hypothesis that is actually true in the population; a type II error (false-negative) occurs if the investigator fails to reject a null hypothesis that is actually false in the population.
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How do you know if H0 should be rejected?

If the p-value is less than or equal to α, you can reject the null hypothesis. Similarly, if the null hypothesis is greater than α, you can fail to reject the null hypothesis. This applies regardless of whether it's a lower tail, upper tail or two-tailed test.
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Can H0 be rejected at the 5% level?

Yes. If H0 is rejected at the 5% level it will always be rejected at the 1% level. No. If the P-value lies between 0.01 and 0.05 you would reject at the 5% level of significance, but not at the 1% level.
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Is p-value greater than 0.05 significant?

If the p-value is less than 0.05, it is judged as "significant," and if the p-value is greater than 0.05, it is judged as "not significant." However, since the significance probability is a value set by the researcher according to the circumstances of each study, it does not necessarily have to be 0.05.
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