Table of contents

1. Intro to Stats and Collecting Data55m
2. Describing Data with Tables and Graphs1h 55m
3. Describing Data Numerically1h 45m
4. Probability2h 16m
5. Binomial Distribution & Discrete Random Variables2h 33m
6. Normal Distribution and Continuous Random Variables1h 38m
7. Sampling Distributions & Confidence Intervals: Mean1h 53m
8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- Sampling Distribution of Sample Proportion
  29m
- Confidence Intervals for Population Proportion
  42m
9. Hypothesis Testing for One Sample2h 19m
10. Hypothesis Testing for Two Samples3h 26m
11. Correlation1h 6m
12. Regression1h 35m
13. Chi-Square Tests & Goodness of Fit1h 57m
14. ANOVA1h 0m

9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

Statistics

9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

Previous problemNext problem

1:55 minutes

Problem 7.1.6

Textbook Question

True or False? In Exercises 5–10, determine whether the statement is true or false. If it is false, rewrite it as a true statement.

A statistical hypothesis is a statement about a sample.

Verified step by step guidance

Understand the definition of a statistical hypothesis: A statistical hypothesis is a statement or claim about a population parameter (e.g., population mean, proportion, variance) rather than a sample.

Analyze the given statement: The problem claims that a statistical hypothesis is a statement about a sample.

Compare the definition with the statement: Since a statistical hypothesis pertains to the population and not the sample, the given statement is false.

Rewrite the statement to make it true: A statistical hypothesis is a statement about a population parameter, not a sample.

Conclude the reasoning: The corrected statement aligns with the definition of a statistical hypothesis, ensuring clarity and accuracy.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Statistical Hypothesis

A statistical hypothesis is a specific claim or assertion about a population parameter, such as a mean or proportion. It can be tested using statistical methods to determine its validity. Hypotheses are typically formulated in pairs: the null hypothesis (H0), which represents no effect or no difference, and the alternative hypothesis (H1), which represents the effect or difference being tested.

Population vs. Sample

In statistics, a population refers to the entire group of individuals or instances about which we seek to draw conclusions, while a sample is a subset of that population selected for analysis. Hypotheses are generally concerned with population parameters, not sample statistics, as they aim to infer characteristics of the whole population based on the sample data.

True/False Statements in Statistics

In statistical exercises, determining the truth value of a statement often involves understanding the definitions and relationships between concepts. A statement can be true or false based on established statistical principles, and if false, it can be rewritten to reflect the correct understanding, such as clarifying that a statistical hypothesis pertains to a population rather than a sample.

Watch next

Master Step 1: Write Hypotheses with a bite sized video explanation from Patrick

Start learning

Related Videos

Related Practice

Textbook Question

In Exercises 27–30, find the critical values and for the level of confidence c and sample size n.

c = 0.99, n = 10

views

Textbook Question

What are the two types of hypotheses used in a hypothesis test? How are they related?

views

Textbook Question

Does failing to reject the null hypothesis mean that the null hypothesis is true? Explain.

views

Textbook Question

True or False? In Exercises 5–10, 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.

views

Textbook Question

True or False? In Exercises 5–10, determine whether the statement is true or false. If it is false, rewrite it as a true statement.

The level of significance is the maximum probability you allow for rejecting a null hypothesis when it is actually true.

views

Textbook Question

True or False? In Exercises 5–10, determine whether the statement is true or false. If it is false, rewrite it as a true statement.

A large P-value in a test will favor rejection of the null hypothesis.

views

Textbook Question

True or False? In Exercises 5–10, determine whether the statement is true or false. If it is false, rewrite it as a true statement.

To support a claim, state it so that it becomes the null hypothesis.

views

Textbook Question

Stating Hypotheses In Exercises 11–16, the statement represents a claim. Write its complement and state which is H0 and which is Ha.

σ^2 ≥ 1.2

views

Show more practices

Download the Mobile app

Privacy

Do not sell my personal information

Accessibility

Patent notice

Sitemap

True or False? In Exercises 5–10, determine whether the statement is true or false. If it is false, rewrite it as a true statement.A statistical hypothesis is a statement about a sample.

Key Concepts

Statistical Hypothesis

Population vs. Sample

True/False Statements in Statistics

Watch next

True or False? In Exercises 5–10, determine whether the statement is true or false. If it is false, rewrite it as a true statement.

A statistical hypothesis is a statement about a sample.