Short-Question

Should the hypothesis be accepted or rejected?

Should the hypothesis be accepted or rejected?

If the P-value is less than (or equal to) , then the null hypothesis is rejected in favor of the alternative hypothesis. If the P-value is less than (or equal to) , reject the null hypothesis in favor of the alternative hypothesis. If the P-value is greater than , do not reject the null hypothesis.

What are some reasons why a hypothesis would be rejected?

What Does Fail to Reject the Null Hypothesis Mean?

• The sample size was too small to detect the effect.
• The variability in the data was too high. The effect exists, but the noise in your data swamped the signal (effect).
• By chance, you collected a fluky sample.

What does it mean to support or reject a hypothesis?

Support or reject null hypothesis? If the P-value is less, reject the null hypothesis. If the P-value is more, keep the null hypothesis. 0.003 < 0.05, so we have enough evidence to reject the null hypothesis and accept the claim.

What is the significance of the rejection region?

A critical region, also known as the rejection region, is a set of values for the test statistic for which the null hypothesis is rejected. i.e. if the observed test statistic is in the critical region then we reject the null hypothesis and accept the alternative hypothesis.

Why the rejection region is important in hypothesis testing?

If the value falls in the rejection region, it means you have statistically significant results; You can reject the null hypothesis. If the p-value falls outside the rejection region, it means your results aren’t enough to throw out the null hypothesis.

When the value of A is increased the probability of committing a Type I error is?

Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error. The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error (rejecting a true null hypothesis).

How can we reduce the chances of a Type I error false positive )?

One of the most common approaches to minimizing the probability of getting a false positive error is to minimize the significance level of a hypothesis test. For example, the significance level can be minimized to 1% (0.01). This indicates that there is a 1% probability of incorrectly rejecting the null hypothesis.

Can a hypothesis be rejected at the significance level?

Alternatively, if the significance level is above the cut-off value, we fail to reject the null hypothesis and cannot accept the alternative hypothesis. You should note that you cannot accept the null hypothesis, but only find evidence against it.

When to reject or accept the null hypothesis?

Typically, if there was a 5% or less chance (5 times in 100 or less) that the difference in the mean exam performance between the two teaching methods (or whatever statistic you are using) is as different as observed given the null hypothesis is true, you would reject the null hypothesis and accept the alternative hypothesis.

How is p-value evidence against the null hypothesis?

It indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null is correct (and the results are random). Therefore, we reject the null hypothesis, and accept the alternative hypothesis.

Is it a success if your hypothesis was disproven?

Your experiment is a success whether or not your hypothesis was disproven. It still provides valuable data, even if the data if different from what you expected. You should always record the accurate results and make conclusions based on this information.