A teacher is giving an exam with 20 multiple-choice questions, each with four possible answers. The teacher's null hypothesis
is that a certain student is just guessing, and the population proportion of success is 0.25. Suppose the teacher conducts a test with a significance level of 0.01. Write a sentence describing the significance level in the context of the hypothesis test.
That means that there´s a 0.01 of probability that the student is guessing.
Remember that the significance level is related to the strength of the evidence before rejecting the null hypothesis. The Significance level is the probability of rejecting the null hypothesis if it is true.
For example if the significance level is 0.03 it will indicate that there is a 3% of probability that students are guessing.
Lower significance levels indicate that you require stronger evidence before you will reject the null hypothesis.
So we can say that the teacher needs more evidence before rejecting the null hypothesis.