Question

Interpreting a Decision In Exercises 43–48, determine whether the claim represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that

(a) rejects the null hypothesis?

(b) fails to reject the null hypothesis?

Writing Hypotheses: Backpack Manufacturer A backpack manufacturer claims that the mean life of its competitor’s backpacks is less than 5 years. You are asked to perform a hypothesis test to test this claim. How would you write the null and alternative hypotheses when

(a) you represent the manufacturer and want to support the claim?

(b) you represent the competitor and want to reject the claim?

Answer 1

Answer 1

(a) if the calculated p value is less than the significance level, then we will reject the null hypothesis

(b) when the calculated p value is greater than the significance level, then we fails to reject the null hypothesis

Answer 2

(a) Supporting the claim as a manufacturer

Null hypothesis:-the mean life of backpacks is at least 5 years

Alternate hypothesis:- the mean life of backpacks is less than 5 years

(b) Rejecting the claim as a competitor

Null hypothesis:- the mean life of backpacks is less than 5 years

Alternate hypothesis:- the mean life of backpacks is not less than 5 years