3. Did blood type A or blood type O contribute more to the test statistic? OA. type A оB. type O 4. Calculate the test statistic. x? = 5. State the degrees of freedom for this test. df = 6. Calculate the p-value for this test. p = 7. Based on the above p-value, we have v ? evidence against the null hypothesis. extremely strong very strong Help Entering Answers strong nomo

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I need help with 5, 6 and 7 plz. 

**Chi-Square Test Exercise**

**3. Did blood type A or blood type O contribute more to the test statistic?**
- A. type A 
- B. type O

**4. Calculate the test statistic.**
\[ \chi^2 = \]

**5. State the degrees of freedom for this test.**
\[ df = \]

**6. Calculate the p-value for this test.**
\[ p = \]

**7. Based on the above p-value, we have [dropdown menu with options:?] evidence against the null hypothesis.**
- extremely strong 
- very strong 
- strong 
- some

[Dropdown menu is present here to select the strength of evidence against the null hypothesis.]

**Instructions:**
- To generate the test statistic (\[ \chi^2 \]), use the formula:
\[ \chi^2 = \sum \frac{(O_i - E_i)^2}{E_i} \]
  where \( O_i \) is the observed frequency and \( E_i \) is the expected frequency.
- Degrees of freedom (\[ df \]) is calculated using:
\[ df = (r - 1) (c - 1) \]
  where \( r \) is the number of rows and \( c \) is the number of columns in the contingency table.
- To find the p-value, refer to the Chi-Square distribution table using your calculated \[ \chi^2 \] value and the corresponding degrees of freedom.

[The guide "Help Entering Answers" is available for further assistance in entering responses.]
Transcribed Image Text:**Chi-Square Test Exercise** **3. Did blood type A or blood type O contribute more to the test statistic?** - A. type A - B. type O **4. Calculate the test statistic.** \[ \chi^2 = \] **5. State the degrees of freedom for this test.** \[ df = \] **6. Calculate the p-value for this test.** \[ p = \] **7. Based on the above p-value, we have [dropdown menu with options:?] evidence against the null hypothesis.** - extremely strong - very strong - strong - some [Dropdown menu is present here to select the strength of evidence against the null hypothesis.] **Instructions:** - To generate the test statistic (\[ \chi^2 \]), use the formula: \[ \chi^2 = \sum \frac{(O_i - E_i)^2}{E_i} \] where \( O_i \) is the observed frequency and \( E_i \) is the expected frequency. - Degrees of freedom (\[ df \]) is calculated using: \[ df = (r - 1) (c - 1) \] where \( r \) is the number of rows and \( c \) is the number of columns in the contingency table. - To find the p-value, refer to the Chi-Square distribution table using your calculated \[ \chi^2 \] value and the corresponding degrees of freedom. [The guide "Help Entering Answers" is available for further assistance in entering responses.]
### Blood Type and COVID-19 Susceptibility

A group of researchers in Wuhan, China, investigated the relationship between contracting the novel coronavirus and patients' blood types. The population in Wuhan has a blood type distribution as shown in the table below. The researchers categorized 375 patients who had contracted coronavirus by blood type. 

**Instructions**: Round all calculated values in this problem to 4 decimal places.

#### Blood Type Distribution and COVID-19 Patients
| Blood Type | Population Percentage | COVID-19 Patients |
|------------|-----------------------|-------------------|
| Type A     | 33%                   | 115               |
| Type B     | 24%                   | 101               |
| Type AB    | 9%                    | 41                |
| Type O     | 34%                   | 118               |
| **Total**  | **100%**              | **375**           |

---

#### 1. Enter the Expected Values for the Hypothesis Test

Calculate the expected values based on the given population percentage for each blood type. Use the total number of COVID-19 patients (375) to determine these values.

| Blood Type | Expected Value |
|------------|----------------|
| Type A     |                |
| Type B     |                |
| Type AB    |                |
| Type O     |                |

---

#### 2. Null and Alternative Hypotheses

The researchers wonder if, in Wuhan, COVID-19 patients have a different distribution of blood types than the general population of Wuhan. Express this research question in terms of a null and alternative hypothesis.

**Null Hypothesis (\( H_0 \))**:
- The distribution of blood types of COVID-19 patients is **the same as** the population. Any observed difference **is** due to chance.

**Alternative Hypothesis (\( H_A \))**:
- The distribution of blood types of COVID-19 patients is **different from** the population. Any observed difference **is not** due to chance.

This setup helps in determining if there is a significant association between blood type and the likelihood of contracting COVID-19 or if any differences are merely due to randomness.
Transcribed Image Text:### Blood Type and COVID-19 Susceptibility A group of researchers in Wuhan, China, investigated the relationship between contracting the novel coronavirus and patients' blood types. The population in Wuhan has a blood type distribution as shown in the table below. The researchers categorized 375 patients who had contracted coronavirus by blood type. **Instructions**: Round all calculated values in this problem to 4 decimal places. #### Blood Type Distribution and COVID-19 Patients | Blood Type | Population Percentage | COVID-19 Patients | |------------|-----------------------|-------------------| | Type A | 33% | 115 | | Type B | 24% | 101 | | Type AB | 9% | 41 | | Type O | 34% | 118 | | **Total** | **100%** | **375** | --- #### 1. Enter the Expected Values for the Hypothesis Test Calculate the expected values based on the given population percentage for each blood type. Use the total number of COVID-19 patients (375) to determine these values. | Blood Type | Expected Value | |------------|----------------| | Type A | | | Type B | | | Type AB | | | Type O | | --- #### 2. Null and Alternative Hypotheses The researchers wonder if, in Wuhan, COVID-19 patients have a different distribution of blood types than the general population of Wuhan. Express this research question in terms of a null and alternative hypothesis. **Null Hypothesis (\( H_0 \))**: - The distribution of blood types of COVID-19 patients is **the same as** the population. Any observed difference **is** due to chance. **Alternative Hypothesis (\( H_A \))**: - The distribution of blood types of COVID-19 patients is **different from** the population. Any observed difference **is not** due to chance. This setup helps in determining if there is a significant association between blood type and the likelihood of contracting COVID-19 or if any differences are merely due to randomness.
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