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A result is called “statistically significant” whenever ans. The p-value is less or equal to the significance level. The null hypothesis is true. The p-value is larger than the significance level. The alternative hypothesis is true.

Question

A result is called “statistically significant” whenever ans. The p-value is less or equal to the significance level.

The null hypothesis is true.

The p-value is larger than the significance level.

The alternative hypothesis is true.

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Solution

A result is called "statistically significant" whenever the p-value is less or equal to the significance level. This means that the observed data is very unlikely under the assumption of the null hypothesis, leading us to reject the null hypothesis in favor of the alternative hypothesis.

It's important to note that a statistically significant result does not necessarily mean that the null hypothesis is false or that the alternative hypothesis is true. It simply means that the observed data is unlikely if the null hypothesis is true.

On the other hand, if the p-value is larger than the significance level, we do not reject the null hypothesis. This does not mean the null hypothesis is true, it simply means that the observed data is not unlikely under the null hypothesis.

In summary, a result is called "statistically significant" if the p-value is less or equal to the significance level, not because the null or alternative hypothesis is true.

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