Table of Contents
- 1 Should the hypothesis be accepted or rejected?
- 2 When should a null hypothesis be rejected?
- 3 Why do we reject the null hypothesis when the p-value is small?
- 4 Can you accept the null hypothesis?
- 5 Why do we reject the null hypothesis if/p α?
- 6 Why we reject the null hypothesis if the p-value is less than the significance level alpha?
Should the hypothesis be accepted or rejected?
If the tabulated value in hypothesis testing is more than the calculated value, than the null hypothesis is accepted. Otherwise it is rejected. The last step of this approach of hypothesis testing is to make a substantive interpretation. The second approach of hypothesis testing is the probability value approach.
When should a null hypothesis be rejected?
How low the p value must be before the sample result is considered unlikely in null hypothesis testing. When there is less than a 5\% chance of a result as extreme as the sample result occurring and the null hypothesis is rejected.
Is it important to reject null?
When the null hypothesis is rejected, the effect is said to be statistically significant. For example, in the Physicians’ Reactions case study, the probability value is 0.0057. Therefore, the effect of obesity is statistically significant and the null hypothesis that obesity makes no difference is rejected.
Can you reject the null and alternative hypothesis?
Rejecting or failing to reject the null hypothesis 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.
Why do we reject the null hypothesis when the p-value is small?
The p-value is used as an alternative to rejection points to provide the smallest level of significance at which the null hypothesis would be rejected. A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.
Can you accept the null hypothesis?
Null hypothesis are never accepted. We either reject them or fail to reject them. Failing to reject a hypothesis means a confidence interval contains a value of “no difference”. However, the data may also be consistent with differences of practical importance.
Can you accept the alternative hypothesis?
Reject the null hypothesis: When we reject a null hypothesis, we accept the alternative hypothesis. This is like a guilty verdict. The evidence is strong enough for the jury to reject the assumption of innocence.
Do we ever accept alternative hypothesis?
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.
Why do we reject the null hypothesis if/p α?
The professor would say that if the p-value is less than or equal to the level of significance (denoted by alpha) we reject the null hypothesis because the test statistic falls in the rejection region.
Why we reject the null hypothesis if the p-value is less than the significance level alpha?
Given the null hypothesis is true, a p-value is the probability of getting a result as or more extreme than the sample result by random chance alone. If a p-value is lower than our significance level, we reject the null hypothesis.
Why do we never accept a hypothesis?
A null hypothesis is not accepted just because it is not rejected. Not even in cases where there is no evidence that the null hypothesis is false is it valid to conclude the null hypothesis is true. If the null hypothesis is that µ1 – µ2 is zero then the hypothesis is that the difference is exactly zero.