research center aduits in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent vear, 21% say they are concerned that their taxes will be audited. At a= 0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. ..... O D. At least 24 % of adults in the country think that their taxes will be audited. Let p be the population proportion of successes, where a success is an adult in the country who thinks that their taxes will be audited. State H, and H, Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho p# O B. Ho P< O C. Ho ps Ha p= Ha p2 Ha p> O D. Ho p> E. Ho: p2 0.24 OF. Ho p= Ha p# Ha ps Ha: p< 0.24 (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo = (Round to two decimal places as needed. Use a comma to separate answers as needed.) Check answer Clear all Get more help - View an example Help me solve this

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find the critical value and identify the rejection region. Also find the standard test
**Hypothesis Testing for Population Proportion**

A research center claims that at least 24% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent year, 21% say they are concerned that their taxes will be audited. At a significance level of α = 0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below.

**Step (a): Define the Hypotheses**

Let \( p \) be the population proportion of successes, where a success is an adult in the country who thinks that their taxes will be audited. State \( H_0 \) and \( H_a \).

Choose the correct option among the following:

- A. \( H_0: p = \)  
   \( H_a: p \neq \)

- B. \( H_0: p < \)  
   \( H_a: p \ge \)

- C. \( H_0: p \le \)  
   \( H_a: p > \)

- D. \( H_0: p > \)  
   \( H_a: p \le \)

- **E. \( H_0: p \ge 0.24 \)  
   \( H_a: p < 0.24 \) [Correct Choice]**

- F. \( H_0: p = \)  
   \( H_a: p \neq \)

**Step (b): Find the Critical Value(s) and Identify the Rejection Region(s)**

Identify the critical value(s) for this test.  
Use the formula for \( z_0 \) and round to two decimal places as needed.

\[ z_0 = \, \boxed{\phantom{x}} \]

(Note: Use a comma to separate answers if more than one.) 

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- Help me solve this
- View an example
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(Temperature noted: 47°F)
Transcribed Image Text:**Hypothesis Testing for Population Proportion** A research center claims that at least 24% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent year, 21% say they are concerned that their taxes will be audited. At a significance level of α = 0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. **Step (a): Define the Hypotheses** Let \( p \) be the population proportion of successes, where a success is an adult in the country who thinks that their taxes will be audited. State \( H_0 \) and \( H_a \). Choose the correct option among the following: - A. \( H_0: p = \) \( H_a: p \neq \) - B. \( H_0: p < \) \( H_a: p \ge \) - C. \( H_0: p \le \) \( H_a: p > \) - D. \( H_0: p > \) \( H_a: p \le \) - **E. \( H_0: p \ge 0.24 \) \( H_a: p < 0.24 \) [Correct Choice]** - F. \( H_0: p = \) \( H_a: p \neq \) **Step (b): Find the Critical Value(s) and Identify the Rejection Region(s)** Identify the critical value(s) for this test. Use the formula for \( z_0 \) and round to two decimal places as needed. \[ z_0 = \, \boxed{\phantom{x}} \] (Note: Use a comma to separate answers if more than one.) Additional options at the bottom include: - Help me solve this - View an example - Get more help Buttons: - Check answer - Clear all (Temperature noted: 47°F)
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