Question

Machines at a factory produce circular washers with a specified diameter. The quality control manager at the factory periodically tests a random sample of washers to be sure that greater than 90 percent of the washers are produced with the specified diameter. The null hypothesis of the test is that the proportion of all washers produced with the specified diameter is equal to 90 percent. The alternative hypothesis is that the proportion of all washers produced with the specified diameter is greater than 90 percent.

Answer 1

Answer:

C) The test provides the convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%.

Step-by-step explanation:

Options are missing from the question. The complete question with its options is shown in the image below.

We need to describe about the Type 1 error. In Statistics there are two main errors: Type 1 error and Type 2 error.

• Type 1 Error occurs when we reject the null hypothesis when infact its true.
• Type 2 Error occurs when we fail to reject the null hypothesis when infact its false.

In the given case the Null Hypothesis is:

The proportion of all washers produced with the specified diameter is equal to 90 percent.

The Type 1 error will occur when the test results will reject the Null hypothesis and accept that the specified diameter is greater than 90% , when infact the Null hypothesis is true and actual proportion is equal to 90%.

Therefore, the correct option will be:

C) The test provides the convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%.

Answer 2

Proportion is the ratio of the two equal fraction. It compare the part of a whole to other part of of the another whole.Option c is the correct option which is, The test provides convincing evidence the the proportion is greater than 90% but the actual proportion is equal to the 90%.

What is proportion?

proportion is the ratio of the two equal fraction. It compare the part of a whole to other part of of the another whole.

Given

Options for the following question are,

• A) The test does not provide convincing evidence that the proportion is greater then 90 percent but the actual proportion is greater then 90 percent.

• B) The test does not provide convincing evidence  the proportion is greater than 90% but the actual proportion is equal to the 90%.

• C)The test provides convincing evidence the the proportion is greater than 90% but the actual proportion is equal to the 90%.

• D)The test provides convincing evidence that the proportion is greater then 90 percent but the actual proportion is greater then 90 percent.

• E) All type 1 error is not possible for this hypothesis test.

The Null Hypothesis for the given question is,

The proportion of all washers produced with the specified diameter is equal to 90 percent. The Null Hypothesis for the given case is true and actual proportion is equal to 90 percent.

Hence option c is the correct option which is, The test provides convincing evidence tha the proportion is greater than 90% but the actual proportion is equal to the 90%.

For more about the Null hypothesis, follow the link below-

https://brainly.com/question/4454077