Answer:
C) The test provides convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%.
Step-by-step explanation:
Complete Question is shown in the image below.
A scenario is presented in the statement and we need to describe what will be the Type 1 error in this case.
Remember that in Statistics Type 1 error means: Rejecting a true Null Hypothesis.
This means, if the test results favor the rejection of null hypothesis (and acceptance of alternate hypothesis), but in reality the null hypothesis is correct, then Type 1 error occurs in the study.
In simple words Type 1 error is the rejection of a true Null Hypothesis. The Null hypothesis in given case is:
The proportion of all washers produced with the specified diameter is equal to 90 percent.
And Alternate Hypothesis is:
The proportion of all washers produced with the specified diameter is greater than 90 percent.
Type 1 error in this case means: The test results reveal that Null hypothesis is to be rejected, i.e. rejection of the claim that proportion of washers is equal to 90% and accepting that proportion of washers is greater than 90%, but in reality the proportion of washers is equal to 90%.
Therefore, from the given options, the correct answer will be:
C) The test provides convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%.
