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.