Hurricane damage: In August and September 2005, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning of flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 370 residents of Orleans Parish who had participated cleaning of one or more homes, 77 had experienced symptoms of wheezing, and in a sample of 179 residents who had not participated in cleaning, 23 reporte wheezing symptoms (numbers read from a graph). Can you conclude that the proportion of residents with wheezing symptoms is greater among those who participated in the cleaning of flood-damaged homes? Let p, denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes, and let p, be the population proportion with wheezing symptoms who did not participate in the cleaning of flood-damaged homes. Use the a=0.05 le of significance and the critical value method. Part 1 of 5 State the null and alternate hypotheses. Ho: P = P2 H : P>P2 This hypothesis test is a right-tailed test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer(s) to three decimal places, if necessary. If there is more than one critical value, separate them with commas.

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**Hurricane Damage:**

In August and September 2005, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning of flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 370 residents of Orleans Parish who had participated in cleaning of one or more homes, 77 had experienced symptoms of wheezing, and in a sample of 179 residents who had not participated in cleaning, 23 reported wheezing symptoms (numbers read from a graph). Can you conclude that the proportion of residents with wheezing symptoms is greater among those who participated in the cleaning of flood-damaged homes? Let \( p_1 \) denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes, and let \( p_2 \) be the population proportion with wheezing symptoms who did not participate in the cleaning of flood-damaged homes. Use the \( \alpha = 0.05 \) level of significance and the critical value method.

**Part 1 of 5**

State the null and alternate hypotheses.

\[ H_0: p_1 = p_2 \]

\[ H_1: p_1 > p_2 \]

This hypothesis test is a **right-tailed** test.

**Part 2 of 5**

Find the critical value(s). Round the answer(s) to three decimal places, if necessary. If there is more than one critical value, separate them with commas.

---

This text provides a step-by-step approach to testing a hypothesis regarding the health impact of cleaning flood-damaged homes on residents.
Transcribed Image Text:**Hurricane Damage:** In August and September 2005, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning of flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 370 residents of Orleans Parish who had participated in cleaning of one or more homes, 77 had experienced symptoms of wheezing, and in a sample of 179 residents who had not participated in cleaning, 23 reported wheezing symptoms (numbers read from a graph). Can you conclude that the proportion of residents with wheezing symptoms is greater among those who participated in the cleaning of flood-damaged homes? Let \( p_1 \) denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes, and let \( p_2 \) be the population proportion with wheezing symptoms who did not participate in the cleaning of flood-damaged homes. Use the \( \alpha = 0.05 \) level of significance and the critical value method. **Part 1 of 5** State the null and alternate hypotheses. \[ H_0: p_1 = p_2 \] \[ H_1: p_1 > p_2 \] This hypothesis test is a **right-tailed** test. **Part 2 of 5** Find the critical value(s). Round the answer(s) to three decimal places, if necessary. If there is more than one critical value, separate them with commas. --- This text provides a step-by-step approach to testing a hypothesis regarding the health impact of cleaning flood-damaged homes on residents.
### Hypothesis Testing

**State the null and alternate hypotheses:**

- Null Hypothesis (\(H_0\)): \(p_1 = p_2\)
- Alternate Hypothesis (\(H_1\)): \(p_1 > p_2\)

This hypothesis test is a **right-tailed** test.

---

### Part: 1 / 5

**Progress Bar:** Displayed to show completion status.

---

### Part 2 of 5

**Find the critical value(s):**

Round the answer(s) to three decimal places, if necessary. If there is more than one critical value, separate them with commas.

- **Critical value(s):** [Input Box]

The user is prompted to enter the critical values in the input box provided.
Transcribed Image Text:### Hypothesis Testing **State the null and alternate hypotheses:** - Null Hypothesis (\(H_0\)): \(p_1 = p_2\) - Alternate Hypothesis (\(H_1\)): \(p_1 > p_2\) This hypothesis test is a **right-tailed** test. --- ### Part: 1 / 5 **Progress Bar:** Displayed to show completion status. --- ### Part 2 of 5 **Find the critical value(s):** Round the answer(s) to three decimal places, if necessary. If there is more than one critical value, separate them with commas. - **Critical value(s):** [Input Box] The user is prompted to enter the critical values in the input box provided.
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