A governor claimed that more than 76% of residents welcomed the stat-at-home order. O The protesters claimed that less than half of small businesses had received aid. Hospitals claimed that they did not have the PPE required to keep their personnel safe. O Capitol High School said that the SAT standard deviation was 22.5 points. She claimed that the number of Facebook accounts was greater than the number of Twitter accounts. |0|0|000

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Formulating Hypotheses

#### Question:
Which of the following statements could be used to develop a null and alternative hypothesis?

#### Explanation:
To answer this question, it is essential to understand the concepts of null and alternative hypotheses. A null hypothesis (denoted as \( H_0 \)) typically states that there is no effect or no difference, and it serves as the default or baseline assumption. An alternative hypothesis (denoted as \( H_1 \) or \( H_A \)), on the other hand, suggests that there is an effect or a difference.

In a scientific or statistical investigation, you will seek to either reject or fail to reject the null hypothesis based on the evidence provided by your data.

##### Examples of Hypothesis Statements:
- Null Hypothesis (\( H_0 \)): There is no significant difference in the test scores between students who attended the review session and those who did not.
- Alternative Hypothesis (\( H_1 \)): There is a significant difference in the test scores between students who attended the review session and those who did not.

Remember, the null hypothesis is assumed to be true until evidence suggests otherwise, thereby shifting the burden of proof to the alternative hypothesis.
Transcribed Image Text:### Formulating Hypotheses #### Question: Which of the following statements could be used to develop a null and alternative hypothesis? #### Explanation: To answer this question, it is essential to understand the concepts of null and alternative hypotheses. A null hypothesis (denoted as \( H_0 \)) typically states that there is no effect or no difference, and it serves as the default or baseline assumption. An alternative hypothesis (denoted as \( H_1 \) or \( H_A \)), on the other hand, suggests that there is an effect or a difference. In a scientific or statistical investigation, you will seek to either reject or fail to reject the null hypothesis based on the evidence provided by your data. ##### Examples of Hypothesis Statements: - Null Hypothesis (\( H_0 \)): There is no significant difference in the test scores between students who attended the review session and those who did not. - Alternative Hypothesis (\( H_1 \)): There is a significant difference in the test scores between students who attended the review session and those who did not. Remember, the null hypothesis is assumed to be true until evidence suggests otherwise, thereby shifting the burden of proof to the alternative hypothesis.
### Claims Assessment Exercise

This exercise contains a list of statements that involve various claims related to societal and educational topics. Each statement reflects different aspects such as governance, public opinion, healthcare, education, and social media usage. Read through each statement carefully, and consider their implications and validity.

1. **A governor claimed that more than 76% of residents welcomed the stay-at-home order.**
2. **The protesters claimed that less than half of small businesses had received aid.**
3. **Hospitals claimed that they did not have the PPE required to keep their personnel safe.**
4. **Capitol High School said that the SAT standard deviation was 22.5 points.**
5. **She claimed that the number of Facebook accounts was greater than the number of Twitter accounts.**

These statements may be used to spark discussions or critical thinking exercises on data interpretation, the accuracy of claims, and the different sources of information. Each point can be analyzed for its statistical, social, and practical implications in a classroom setting. There are no graphs or diagrams accompanying these statements.
Transcribed Image Text:### Claims Assessment Exercise This exercise contains a list of statements that involve various claims related to societal and educational topics. Each statement reflects different aspects such as governance, public opinion, healthcare, education, and social media usage. Read through each statement carefully, and consider their implications and validity. 1. **A governor claimed that more than 76% of residents welcomed the stay-at-home order.** 2. **The protesters claimed that less than half of small businesses had received aid.** 3. **Hospitals claimed that they did not have the PPE required to keep their personnel safe.** 4. **Capitol High School said that the SAT standard deviation was 22.5 points.** 5. **She claimed that the number of Facebook accounts was greater than the number of Twitter accounts.** These statements may be used to spark discussions or critical thinking exercises on data interpretation, the accuracy of claims, and the different sources of information. Each point can be analyzed for its statistical, social, and practical implications in a classroom setting. There are no graphs or diagrams accompanying these statements.
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