Question

State the null and alternative hypothesis

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Select an answer



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Select an answer



Suppose sample data shows that the null hypothesis should not be rejected. Interpret this conclusion
We do have sufficient evidence to conclude that the course leads to higher score
We do not have sufficient evidence to conclude that the course leads to higer score
We have sufficient evidence to conclude that the course will leads to a difference score


Suppose in fact that the course has increased the average score to 541. What type of error has been made?
Type I
Type II

Answer 1

We do not have sufficient evidence to conclude that the course leads to higer score

We made a Type II error.

Interpreting the conclusion

When we fail to reject the null hypothesis, it means that we do not have sufficient evidence to conclude that the alternative hypothesis is true.

In this case, the null hypothesis is that the course does not lead to higher scores, and the alternative hypothesis is that the course does lead to higher scores.

So, when we fail to reject the null hypothesis, we are saying that we do not have sufficient evidence to conclude that the course leads to higher scores.

What type of error has been made?

If the course has actually increased the average score to 541, but we failed to reject the null hypothesis, then we have made a Type II error.

This is because we have incorrectly concluded that the null hypothesis is true, when it is actually false.