Question

An Internet provider is trying to gain advertising deals and claims that the mean time a customer spends online per day is greater than 35 minutes. You are asked to test this claim. (a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the (b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the claim? claim? (a) Ho 35 35 35 (b) Ho Ha 35

Answer 1

Part a

If we are representing the internet provider, then the required null and alternative hypotheses for this test are given as below:

H₀: µ ≤ 35

H_a: µ > 35

[For this test, the claim is the alternative hypothesis.]

Part b

If we are representing the competing adviser, then the required null and alternative hypotheses are given as below:

H₀: µ ≥ 35

H_a: µ < 35

(As the competitor will try to show or prove that the mean time a customer spends online per day is less than 35 minutes.)

[For this test, the claim is the null hypothesis.]