Stats 7.1

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. In a hypothesis​ test, you assume the alternative hypothesis is true.

False. In a hypothesis​ test, you assume the null hypothesis is true.

A null hypothesis is rejected with a level of significance of 0.05. Is it also rejected with a level of significance of​ 0.10? Explain.

Yes, the claim would be rejected because the​ P-value would be less than 0.10. A null hypothesis is rejected when the​ P-value is less than the level of​ significance, α. ​Therefore, if the null hypothesis would be rejected with a level of significance of α​, then the​ P-value is less than α. In this​ problem, since the null hypothesis is​ rejected, the​ P-value is less than α = 0.05. Since the​ P-value is less than​ 0.05, is also less than 0.10.

What are the two types of hypotheses used in a hypothesis​ test? How are they​ related?

null and alternative They are complements.

What are the two decisions that you can make from performing a hypothesis​ test?

reject the null hypothesis. fail to reject the null hypothesis.