In the US, 45.1% of all people have type O blood, 39.6% have type A blood, 10.9% have type B blood and 4.4% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 614 millionaires. What can be concluded at the significant level of a = 0.05. For this study, we should use Chi-Square test for Goodness of Fit ✓ OP Your friend Caroline helped you with the null and alternative hypotheses... Ho: The distributions of blood types are the same between the general population and the millionaires. Ha: The distributions of blood types are NOT the same between the general population and the millionaires.

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### Analysis of Blood Type Distribution Among Millionaires

In the US, 45.1% of all people have type O blood, 39.6% have type A blood, 10.9% have type B blood, and 4.4% have type AB blood. A researcher wants to determine if the distribution of blood types is different among millionaires. The table below shows the results of a random sample of 614 millionaires. We will conduct a Chi-Square test at a significance level of α = 0.05 to draw conclusions from this data.

For this study, we should use the **Chi-Square test for Goodness of Fit**.

#### Hypotheses:
Your friend Caroline helped you with the null and alternative hypotheses:

- **Null Hypothesis (H₀):** The distributions of blood types are the same between the general population and the millionaires.
- **Alternative Hypothesis (Hₐ):** The distributions of blood types are NOT the same between the general population and the millionaires.

You drew 614 samples, and the observed frequencies are recorded below. Please complete the table (round answers to at least 4 decimal places).

| Blood Type | Observed Count | Expected Count |
|------------|-----------------|----------------|
| O          | 274             |                |
| A          | 230             |                |
| B          | 57              |                |
| AB         | 53              |                |

[Click here](#) to download the CSV file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook.

#### Calculation of Expected Counts
To calculate the expected count for each blood type given the general population distribution:
- Expected Count for Type O: 45.1% of 614 = \( 0.451 \times 614 = 276.614 \)
- Expected Count for Type A: 39.6% of 614 = \( 0.396 \times 614 = 243.144 \)
- Expected Count for Type B: 10.9% of 614 = \( 0.109 \times 614 = 66.326 \)
- Expected Count for Type AB: 4.4% of 614 = \( 0.044 \times 614 = 27.016 \)

Updating the table with expected counts:
| Blood Type | Observed Count |
Transcribed Image Text:### Analysis of Blood Type Distribution Among Millionaires In the US, 45.1% of all people have type O blood, 39.6% have type A blood, 10.9% have type B blood, and 4.4% have type AB blood. A researcher wants to determine if the distribution of blood types is different among millionaires. The table below shows the results of a random sample of 614 millionaires. We will conduct a Chi-Square test at a significance level of α = 0.05 to draw conclusions from this data. For this study, we should use the **Chi-Square test for Goodness of Fit**. #### Hypotheses: Your friend Caroline helped you with the null and alternative hypotheses: - **Null Hypothesis (H₀):** The distributions of blood types are the same between the general population and the millionaires. - **Alternative Hypothesis (Hₐ):** The distributions of blood types are NOT the same between the general population and the millionaires. You drew 614 samples, and the observed frequencies are recorded below. Please complete the table (round answers to at least 4 decimal places). | Blood Type | Observed Count | Expected Count | |------------|-----------------|----------------| | O | 274 | | | A | 230 | | | B | 57 | | | AB | 53 | | [Click here](#) to download the CSV file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. #### Calculation of Expected Counts To calculate the expected count for each blood type given the general population distribution: - Expected Count for Type O: 45.1% of 614 = \( 0.451 \times 614 = 276.614 \) - Expected Count for Type A: 39.6% of 614 = \( 0.396 \times 614 = 243.144 \) - Expected Count for Type B: 10.9% of 614 = \( 0.109 \times 614 = 66.326 \) - Expected Count for Type AB: 4.4% of 614 = \( 0.044 \times 614 = 27.016 \) Updating the table with expected counts: | Blood Type | Observed Count |
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