Claim: A minority of adults would erase all of their personal information online if they could. A software firm survey of 553 randomly selected adults showed that 41% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. *** a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information. (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. Ho: H₁: (Type integers or decimals. Do not round.)

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**Educational Activity: Hypothesis Testing in Statistics**

**Claim:** A minority of adults would erase all of their personal information online if they could. A software firm's survey of 553 randomly selected adults showed that 41% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below.

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**a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.**

Select the appropriate symbol from the dropdown menus and fill in the form field:

1. **(Symbol selection box)**
2. **(Symbol selection box)**
3. **(Input field: Type an integer or a decimal. Do not round.)**

---

**b. Identify the null and alternative hypotheses.**

Select the appropriate symbols from the dropdown menus and fill in the form fields:

- **H₀ (Null Hypothesis):** **(Symbol selection box) (Symbol selection box) (Input field: Type integers or decimals. Do not round.)**

- **H₁ (Alternative Hypothesis):** **(Symbol selection box) (Symbol selection box) (Input field: Type integers or decimals. Do not round.)**

Note: For both parts (a) and (b), the dropdown selection boxes typically provide options for standard statistical symbols, such as inequality symbols and population parameters (e.g., <, >, =, p, etc.).

**Explanatory Notes:**
1. The claim that "A minority of adults would erase all of their personal information online if they could" suggests that less than 50% of adults would do so.
2. A software firm's survey finding that 41% of 553 randomly selected adults would erase their personal information is an observed proportion (sample statistic).

In this exercise, you will practice expressing a real-world claim using statistical notation and defining appropriate null and alternative hypotheses for hypothesis testing.

**References for Hypothesis Testing:**
- Null Hypothesis (H₀) often represents the status quo or a statement of no effect or no difference.
- Alternative Hypothesis (H₁) represents the statement you aim to test, often indicating an effect, difference, or relationship.

To complete the task, utilize foundational knowledge from your statistics course, focusing on hypothesis formulation and symbolic representation.

**Good Luck!**
Transcribed Image Text:**Educational Activity: Hypothesis Testing in Statistics** **Claim:** A minority of adults would erase all of their personal information online if they could. A software firm's survey of 553 randomly selected adults showed that 41% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. --- **a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.** Select the appropriate symbol from the dropdown menus and fill in the form field: 1. **(Symbol selection box)** 2. **(Symbol selection box)** 3. **(Input field: Type an integer or a decimal. Do not round.)** --- **b. Identify the null and alternative hypotheses.** Select the appropriate symbols from the dropdown menus and fill in the form fields: - **H₀ (Null Hypothesis):** **(Symbol selection box) (Symbol selection box) (Input field: Type integers or decimals. Do not round.)** - **H₁ (Alternative Hypothesis):** **(Symbol selection box) (Symbol selection box) (Input field: Type integers or decimals. Do not round.)** Note: For both parts (a) and (b), the dropdown selection boxes typically provide options for standard statistical symbols, such as inequality symbols and population parameters (e.g., <, >, =, p, etc.). **Explanatory Notes:** 1. The claim that "A minority of adults would erase all of their personal information online if they could" suggests that less than 50% of adults would do so. 2. A software firm's survey finding that 41% of 553 randomly selected adults would erase their personal information is an observed proportion (sample statistic). In this exercise, you will practice expressing a real-world claim using statistical notation and defining appropriate null and alternative hypotheses for hypothesis testing. **References for Hypothesis Testing:** - Null Hypothesis (H₀) often represents the status quo or a statement of no effect or no difference. - Alternative Hypothesis (H₁) represents the statement you aim to test, often indicating an effect, difference, or relationship. To complete the task, utilize foundational knowledge from your statistics course, focusing on hypothesis formulation and symbolic representation. **Good Luck!**
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