Question

If a hypothesis is rejected at a 5% level of significance, what does it indicate?

a) The probability of committing a Type I error is less than 5%
b) The sample size is insufficient for drawing conclusions
c) The hypothesis is definitely true
d) The test has a low power to detect effects

Answer 1

When a hypothesis is rejected at a 5% level of significance, it indicates strong evidence against the null hypothesis and supports the alternative hypothesis.

Step-by-step explanation:

When a hypothesis is rejected at a 5% level of significance, it indicates that there is strong evidence against the null hypothesis. This means that the observed data is unlikely to have occurred if the null hypothesis were true. Therefore, the rejection of the hypothesis suggests that there is enough evidence to support the alternative hypothesis.

For example, let's say we are testing the null hypothesis that the average height of a certain population is 160 cm. If the hypothesis is rejected at a 5% level of significance, it means that the data collected provides strong evidence to suggest that the average height is not 160 cm and supports the alternative hypothesis that the average height is different from 160 cm.