Question

Writing Hypotheses: Internet Provider An Internet provider is trying to gain advertising deals and claims that the mean time a customer spends online per day is greater than 28 minutes. You are asked to test this claim. How would you write the null and alternative hypotheses when

b. you represent a competing advertiser and want to reject the claim?

Accepted Answer

Step 1: Understand the context of the problem. The Internet provider claims that the mean time a customer spends online per day is greater than 28 minutes. This is a one-tailed hypothesis test because the claim specifies a direction ('greater than'). Step 2: Define the null hypothesis (H₀). The null hypothesis represents the status quo or the claim you want to test against. Since you are representing a competing advertiser and want to reject the provider's claim, the null hypothesis should state that the mean time a customer spends online per day is less than or equal to 28 minutes. Mathematically, H₀: μ ≤ 28, where μ is the population mean time spent online per day. Step 3: Define the alternative hypothesis (H₁). The alternative hypothesis represents the claim you are testing for. In this case, since you want to reject the provider's claim, the alternative hypothesis should state that the mean time a customer spends online per day is not greater than 28 minutes. Mathematically, H₁: μ \u003e 28. Step 4: Write the hypotheses in symbolic form. Null hypothesis: H₀: μ ≤ 28. Alternative hypothesis: H₁: μ \u003e 28. These hypotheses are written in terms of the population mean (μ). Step 5: Verify the direction of the test. Since the alternative hypothesis (H₁) involves 'greater than,' this is a one-tailed test. This will influence the critical region and p-value calculation in subsequent steps of hypothesis testing.

비슷한 문제에 대한 검증된 영상 답변:

주요 개념

Null Hypothesis (H0)

Alternative Hypothesis (H1)

Hypothesis Testing