Please help me with this math problem and thank you!! Identify the null and alternative hypotheses: H0: μ, σ, or p | <, ≠, >, or = ______________ H1: μ, σ, or p | <, ≠, >, or = ________________
Please help me with this math problem and thank you!! Identify the null and alternative hypotheses: H0: μ, σ, or p | <, ≠, >, or = ______________ H1: μ, σ, or p | <, ≠, >, or = ________________
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please help me with this math problem and thank you!!
Identify the null and alternative hypotheses:
H0: μ, σ, or p | <, ≠, >, or = ______________
H1: μ, σ, or p | <, ≠, >, or = ________________

Transcribed Image Text:**Los Angeles, CA Commute Times**
This dataset presents the commute times (in minutes) for workers aged 16 and older in Los Angeles. The data is sourced from the U.S. Census Bureau's 2017 American Community Survey.
**Commute Times (in minutes):**
```
15, 30, 5, 35, 10, 40, 45, 30, 10, 40, 30, 30, 20, 45, 30, 20
40, 20, 141, 20, 40, 25, 15, 40, 10, 30, 20, 30, 75, 15, 35, 10
10, 15, 30, 35, 10, 45, 20, 80, 10, 40, 45, 10, 15, 20, 40, 15
45, 35, 20, 15, 35, 30, 60, 25, 10, 5, 30, 15
```
This list represents various individual commute durations. There are no accompanying graphs or diagrams.

Transcribed Image Text:**Understanding Statistical Hypotheses: An Educational Overview**
This text is designed for educational purposes, specifically focusing on hypothesis testing in statistical analysis.
### Scenario
A study involves analyzing the commute times of 200 Los Angeles residents to test the hypothesis that their mean commute time is less than 33 minutes. Researchers are using a significance level of 0.10. The objective is to determine whether the sample mean significantly differs from the claimed mean of 33 minutes.
### Procedure
1. **View Sample Data**: Click the provided icon to access the dataset of Los Angeles commute times.
2. **Hypothesis Formulation**
- **Null Hypothesis (H₀):** The null hypothesis posits that the mean commute time is equal to 33 minutes. This is the default position indicating no effect or difference.
- **Alternative Hypothesis (H₁):** Conversely, the alternative hypothesis suggests that the mean commute time is less than 33 minutes, indicating a potential significant effect or difference that the study wants to confirm.
### Instructions for Identifying Hypotheses
- Use drop-down menus to select appropriate symbols and numbers for H₀ and H₁.
- For H₀, you might set it as μ = 33.
- For H₁, it could be expressed as μ < 33.
### Note
Type integers or decimals as required and ensure no rounding occurs during input.
This exercise helps illustrate the process and importance of clearly defining both null and alternative hypotheses before conducting statistical tests, aiding students in understanding hypothesis testing's role in analyzing real-world data effectively.
Expert Solution

Step 1
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman