When 3005 adults were surveyed in a poll, 22% said that they use the Internet. Is it okay for a newspaper reporter to write that "1/4 of all adults use the Internet"? Why or why not? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: p=0.25 H,:p<0.25 O B. Ho: p= 0.25 H,: p#0.25 OC. Ho: p= 0.75 H;: p>0.75 O D. Ho: p=0.75 H,: p#0.75 O E. Ho: p=0.75 H,: p<0.75 OF. Ho: p=0.25 H,: p>0.25 The test statistic is z= (Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.) Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. (Assume a 0.05 significance level.) V Ho. There V sufficient evidence to warrant rejection of the claim that 1/4 of all adults use the Internet. The reporter should not write that 1/4 of all adults use the Internet.

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When 3005 adults were surveyed in a poll, 22% said that they use the Internet. Is it okay for a newspaper reporter to write that "1/4 of all adults use the Internet"? Why or why not? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

**Identify the Null and Alternative Hypotheses: Choose the correct answer below:**

- **A.** \( H_0: p = 0.25 \)  
  \( H_1: p < 0.25 \)

- **B.** \( H_0: p = 0.25 \)  
  \( H_1: p \neq 0.25 \)

- **C.** \( H_0: p = 0.75 \)  
  \( H_1: p > 0.75 \)

- **D.** \( H_0: p = 0.75 \)  
  \( H_1: p \neq 0.75 \)

- **E.** \( H_0: p = 0.75 \)  
  \( H_1: p < 0.75 \)

- **F.** \( H_0: p = 0.25 \)  
  \( H_1: p > 0.25 \)

**The Test Statistic is \( z = \_\_\_\_ \) (Round to two decimal places as needed.)**

**The P-value is \( \_\_\_\_ \) (Round to four decimal places as needed.)**

**Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim (Assume a 0.05 significance level.):**

\[ H_0: \text{There is [ ] sufficient evidence to warrant rejection of the claim that 1/4 of all adults use the Internet. The reporter should not write that 1/4 of all adults use the Internet.} \]

---

**Diagram Explanation:**

This section of the educational site provides a step-by-step guide for conducting hypothesis testing using a sample survey. It emphasizes the importance of correctly identifying the null and alternative hypotheses, calculating the test statistic and P-value, and drawing conclusions based on statistical evidence. The example demonstrates
Transcribed Image Text:When 3005 adults were surveyed in a poll, 22% said that they use the Internet. Is it okay for a newspaper reporter to write that "1/4 of all adults use the Internet"? Why or why not? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. **Identify the Null and Alternative Hypotheses: Choose the correct answer below:** - **A.** \( H_0: p = 0.25 \) \( H_1: p < 0.25 \) - **B.** \( H_0: p = 0.25 \) \( H_1: p \neq 0.25 \) - **C.** \( H_0: p = 0.75 \) \( H_1: p > 0.75 \) - **D.** \( H_0: p = 0.75 \) \( H_1: p \neq 0.75 \) - **E.** \( H_0: p = 0.75 \) \( H_1: p < 0.75 \) - **F.** \( H_0: p = 0.25 \) \( H_1: p > 0.25 \) **The Test Statistic is \( z = \_\_\_\_ \) (Round to two decimal places as needed.)** **The P-value is \( \_\_\_\_ \) (Round to four decimal places as needed.)** **Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim (Assume a 0.05 significance level.):** \[ H_0: \text{There is [ ] sufficient evidence to warrant rejection of the claim that 1/4 of all adults use the Internet. The reporter should not write that 1/4 of all adults use the Internet.} \] --- **Diagram Explanation:** This section of the educational site provides a step-by-step guide for conducting hypothesis testing using a sample survey. It emphasizes the importance of correctly identifying the null and alternative hypotheses, calculating the test statistic and P-value, and drawing conclusions based on statistical evidence. The example demonstrates
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