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.

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Answer:

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.

Based on the above, the hypothesis will be that at 0.01 probability level,  the student are guessing the answer or simply say the probability of saying the student is not guessing when the y do is is 0.01.

What is the Level of significance?

In testing any hypothesis, there is always  level of significance. It is one that can be either 5% or 1%.

It is known to be the probability of a researcher rejecting the null hypothesis when it is said to be true and it is often denoted by α.

Learn more about hypothesis  from

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