Skip to main content
Ch. 7 - Hypothesis Testing with One Sample
Larson - Elementary Statistics: Picturing the World 8th Edition
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Larson 8th EditionCh. 7 - Hypothesis Testing with One Sample문제 7.1.52a
7장, 문제 7.1.52a

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


a. you represent the Internet provider and want to support the claim?

검증된 단계별 안내
1
Understand the context: 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').
Define the null hypothesis (H₀): The null hypothesis represents the default or status quo assumption. In this case, it would 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 represents the population mean.
Define the alternative hypothesis (H₁): The alternative hypothesis represents the claim being tested. Since the Internet provider wants to support the claim that the mean time is greater than 28 minutes, the alternative hypothesis is H₁: μ > 28.
Verify the hypotheses: Ensure that the null and alternative hypotheses are mutually exclusive and collectively exhaustive. This means that one and only one of these hypotheses can be true based on the evidence from the data.
Write the hypotheses clearly: Null hypothesis (H₀): μ ≤ 28. Alternative hypothesis (H₁): μ > 28. These hypotheses will guide the statistical test to determine whether there is sufficient evidence to support the provider's claim.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Null Hypothesis (H0)

The null hypothesis is a statement that indicates no effect or no difference, serving as a default position that there is no relationship between two measured phenomena. In this context, it would assert that the mean time customers spend online per day is less than or equal to 28 minutes, which the Internet provider is trying to challenge.
추천 영상:
가이드 코스
06:21
Step 1: Write Hypotheses

Alternative Hypothesis (H1)

The alternative hypothesis is a statement that contradicts the null hypothesis, suggesting that there is an effect or a difference. For the Internet provider's claim, the alternative hypothesis would state that the mean time customers spend online per day is greater than 28 minutes, which is what they aim to support.
추천 영상:
가이드 코스
06:21
Step 1: Write Hypotheses

Hypothesis Testing

Hypothesis testing is a statistical method used to make decisions about the validity of a hypothesis based on sample data. It involves calculating a test statistic and comparing it to a critical value to determine whether to reject the null hypothesis in favor of the alternative hypothesis, thus providing evidence for the Internet provider's claim.
추천 영상:
가이드 코스
06:21
Step 1: Write Hypotheses
관련 실천
교과서 질문

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?

70
views
교과서 질문

Graphical Analysis In Exercises 13 and 14, state whether each standardized test statistic X^2 allows you to reject the null hypothesis. Explain.


a. X^2=2.091

64
views
교과서 질문

In Exercises 3–6, determine whether a normal sampling distribution can be used. If it can be used, test the claim.

Claim: p ≠0.15, α=0.05. Sample statistics: p_hat = 0.12, n=500

58
views
교과서 질문

Graphical Analysis In Exercises 9–12, state whether each standardized test statistic t allows you to reject the null hypothesis. Explain.


a. t = 1.4


70
views
교과서 질문

Graphical Analysis In Exercises 9–12, state whether each standardized test statistic t allows you to reject the null hypothesis. Explain.


a. t = -1.755


32
views
교과서 질문

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?


Marketing A fitness equipment company claims that its competitor’s home gym does not have a customer satisfaction rate of 99%.

56
views