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Chapter 8: Q. 9.12 (page 357)

Suppose that a hypothesis test is performed at a small significance level. State the appropriate conclusion in each case by referring to Key Fact 9.2.

a. The null hypothesis is rejected.

b. The null hypothesis is not rejected.

Short Answer

Expert verified

Part(a) If the null hypothesis is rejected, the data supplied is considered adequate evidence to support the alternative hypothesis.

Part(b) If the null hypothesis is not rejected, the data indicate that the alternative hypothesis is not supported by sufficient evidence.

Step by step solution

01

Part (a) Step 1. Given information. 

A hypothesis test is performed at a small significance level.

02

Part (a) Step 2. Conclusion

Assume a hypothesis test is performed at a low significance threshold. If the null hypothesis is rejected, the data supplied is considered adequate evidence to support the alternative hypothesis.

03

Part (b) Step 1. Conclusion

Assume a hypothesis test is performed at a low significance level. If the null hypothesis is not rejected, the data indicate that the alternative hypothesis is not supported by sufficient evidence.

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