Q7CQQ Uncertainty True or false: If co... [FREE SOLUTION]

Chapter 8: Q7CQQ (page 356)

Uncertainty True or false: If correct methods of hypothesis testing are used with a large simple random sample that satisfies the test requirements, the conclusion will always be true.

Short Answer

Expert verified

It is false that after applying the correct method to test a claim with a sufficiently large sample, it will always result in a conclusion that is true.

Step by step solution

Given information

The following statement is considered:

If correct methods of hypothesis testing are used with a large simple random sample that satisfies the test requirements, the conclusion will always be true.

Conclusion of the test

The statement 鈥渢he conclusion will always be true鈥� denotes the rejection of the null hypothesis.

The conclusion of a hypothesis test depends on the characteristics of the data values of the sample.

A sufficiently large sample may have statistics that are quite extreme which can result in a very small p-value and hence, the rejection of the null hypothesis.

Conversely, if the sample is large, but the p-value comes out to be greater than the significance level, then the null hypothesis is failed to reject.

Therefore, even if the sample follows all the requirements, there can be a case of failure to reject the null hypothesis, and thus, the conclusion will not be true.