Question

We want to test 0: :=180≠180 where = the true mean volume of liquid dispensed by the machine. A significance test yields a -value of 0.0589. We choose to make a decision using =0.10

Because the -value of 0.0589 is less than =0.10, we reject 0

We have convincing evidence that the true mean volume of liquid dispensed by the machine is different from 180 ml.

Would this conclusion change if a 5% significance level was used instead of a 10% significance level?

No, it would not change because the -value is still less than . We would still reject 0.


Yes, it would change because the -value is now greater than . Now we would fail to reject 0.


The conclusion will stay the same no matter what is as long as the null hypothesis remains the same.


The conclusion will stay the same no matter what is as long as the -value remains the same.


The conclusion will stay the same no matter what is as long as the population parameter remains the same.

Answer 1

The correct answer is: Yes, it would change because the p-value is now greater than 0.05. Now we would fail to reject the null hypothesis.

Answer 2

The conclusion would change if a 5% significance level was used instead of a 10% significance level. This is because changing the significance level alters the threshold for determining statistical significance.
Here's a breakdown to explain why the conclusion would change:
1. When the 10% significance level (a = 0.10) was used:
- The given P-value is 0.0589, which is less than the 10% significance level.