Question

Researchers are comparing the intelligence levels of incoming freshmen and graduating seniors. Assuming that there is not a systematic difference in intelligence levels between the two groups and researchers reject the null hypothesis, they have committed:

Answer 1

The researchers committed a Type I error by incorrectly rejecting the null hypothesis. The correct decision should have been not to reject the null hypothesis.

Step-by-step explanation:

The researchers have committed a Type I error by rejecting the null hypothesis when it is actually true. This means they have wrongly concluded that there is a significant difference in intelligence levels between incoming freshmen and graduating seniors. The alpha level, which represents the probability of making a Type I error, was set to 0.01.

However, at the 1 percent significance level, there is not enough evidence to support the claim that freshmen students study less than 2.5 hours per day on average. So, the researchers should have failed to reject the null hypothesis.

Therefore, the correct decision should have been not to reject the null hypothesis, and the student academic group's claim appears to be incorrect.

Answer 2

Type 1 error

Step-by-step explanation:

In statistics and research, a type 1 error results when a researcher rejects a true null hypothesis and accepts the alternate hypothesis instead.

From this question let's say the null hypothesis is there is no systematic difference between two groups

And the alternate says there is systematic difference between two groups.

We commit a type 1 error when we reject the null hypothesis which is correct and accept the alternate hypothesis which is false.