Question

A student wondered if more than​ 10% of students enrolled in an introductory Chemistry class dropped before the midterm. Suppose he performed a hypothesis test to test his claim. In the context of the​ problem, what would happen if the student made a Type I​ Error?

Answer 1

Answer:

The test result would accept the alternate hypothesis stating that 'More than 10% of the students enrolled in an introductory Chemistry class dropped before the midterm'.

Explanation:

In this case, the null and alternate hypothesis would be:

Null Hypothesis: Less than or equal to 10% of the students enrolled in an introductory Chemistry class dropped before the midterm.

Alternate Hypothesis: More than 10% of the students enrolled in an introductory Chemistry class dropped before the midterm.

A Type I error is when a true null hypothesis is rejected by mistake or due to an error. This means that it is true that 'Less than or equal to 10% of the students enrolled in an introductory Chemistry class dropped before the midterm' but this is rejected due to an error or mistake. Hence, the alternate hypothesis will be found as the result of the test due to the error.