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 = ________________

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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 ________________
 
 
 
**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:**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.
**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.
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.
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