Question

The result of a hypothesis test is used to prevent a machine from under-filling or overfilling quart size bottles of olive oil. On the basis of sample, the hypothesis is rejected and the machine is shut down for inspection. A thorough examination reveals to engineers there is nothing wrong with the filling machine. From a statistical point of view: A. A correct decision was made. B. Both, a Type I and a Type II errors were made. C. A Type I error was made. D. A Type II error was made. E. None of these answers.

Answer 1

From a statistical point of view: A correct decision was made.

so that the extent of the problem may be ascertained.

Explanation:

"In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding or conclusion), while a type II error is the non-rejection of a false null hypothesis (also known as a "false negative" finding or conclusion)."