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Chapter 7: Q7E (page 397)

If you test a hypothesis and reject the null hypothesis in favor of the alternative hypothesis, does your test prove that the alternative hypothesis is correct? Explain.

Short Answer

Expert verified

Saying that a test proves the alternative is correct is an inaccurate statement.

Step by step solution

01

Given information 

The null hypothesis is rejected in favor of the alternative hypothesis in a particular test.

02

Explaining the given statement

No, the test does not prove that the alternative hypothesis is correct.

Let us assume that the null and alternative hypotheses are constructed adequately so that rejecting the null hypothesis must logically lend evidence to the alternative hypothesis; we must still keep experimental error in mind. Any testing has some mistakes, and there will always be a probability that the null hypothesis is rejected even though it is true. Thus, saying that a test proves the alternative is correct would be inaccurate.

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Most popular questions from this chapter

For safety reasons, calf dehorning has become a routine practice at dairy farms. A report by Europe鈥檚 Standing Committee on the Food Chain and Animal Health (SANKO) stated that 80% of European dairy farms carry out calf dehorning. A later study, published in the Journal of Dairy Science (Vol. 94,2011), found that in a sample of 639 Italian dairy farms, 515 dehorned calves. Does the Journal of Dairy Science study support or refute the figure reported by SANKO? Explain.

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