In the US, 55% of all people have type O blood, 30% have type A blood, 10% have type B blood and 5% 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 148 millionaires. What can be concluded at the 0.01% significant level. Test for the claim that the following categories occur with the following frequencies: PType O = 0.55; pType A = 0.3; PType B = 0.1; PType AB = 0.05 Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places. Expected Frequency Frequency Observed Blood Type Residual 66 A 30 25 AB 27 Н, : РА — 0.55; рв — 0.3%; рс 3D 0.1; pp 0.05 H1: at least one is different Original claim = ( Select an answer Enter the critical value, along with the significance level and degrees of freedom x(a,df) below the graph. (Graph is for illustration only. No need to shade.) X2- Distribution 0.12 0.1 0.08 0.06 0.04 0.02 x2, 17 (Round to three decimal places.) Test Statistic = (Round to three decimal places.) p-value= (Round to four decimal places.) Probability

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In the US, 55% of all people have type O blood, 30% have type A blood, 10% have type B blood, and 5% 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 148 millionaires. What can be concluded at the 0.01% significance level? Test for the claim that the following categories occur with the following frequencies: \( p_{\text{Type O}} = 0.55 \); \( p_{\text{Type A}} = 0.3 \); \( p_{\text{Type B}} = 0.1 \); \( p_{\text{Type AB}} = 0.05 \). Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places.

| Blood Type | Observed Frequency | Expected Frequency | Residual |
|------------|---------------------|--------------------|----------|
| O          | 66                  |                    |          |
| A          | 30                  |                    |          |
| B          | 25                  |                    |          |
| AB         | 27                  |                    |          |

\( H_0: p_A = 0.55; \, p_B = 0.3; \, p_C = 0.1; \, p_D = 0.05 \)

\( H_1: \) at least one is different.

Original claim = [Select an answer]

Enter the critical value, along with the significance level and degrees of freedom \( \chi^2(\alpha, \text{df}) \) below the graph. (Graph is for illustration only. No need to shade.)

### Diagram

A graph showing the \( \chi^2 \)-Distribution is provided. The x-axis is labeled with values, and there is a curve representing the probability distribution.

- **Test Statistic =** [ ] (Round to three decimal places.)
- **p-value =** [ ] (Round to four decimal places.)
Transcribed Image Text:In the US, 55% of all people have type O blood, 30% have type A blood, 10% have type B blood, and 5% 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 148 millionaires. What can be concluded at the 0.01% significance level? Test for the claim that the following categories occur with the following frequencies: \( p_{\text{Type O}} = 0.55 \); \( p_{\text{Type A}} = 0.3 \); \( p_{\text{Type B}} = 0.1 \); \( p_{\text{Type AB}} = 0.05 \). Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places. | Blood Type | Observed Frequency | Expected Frequency | Residual | |------------|---------------------|--------------------|----------| | O | 66 | | | | A | 30 | | | | B | 25 | | | | AB | 27 | | | \( H_0: p_A = 0.55; \, p_B = 0.3; \, p_C = 0.1; \, p_D = 0.05 \) \( H_1: \) at least one is different. Original claim = [Select an answer] Enter the critical value, along with the significance level and degrees of freedom \( \chi^2(\alpha, \text{df}) \) below the graph. (Graph is for illustration only. No need to shade.) ### Diagram A graph showing the \( \chi^2 \)-Distribution is provided. The x-axis is labeled with values, and there is a curve representing the probability distribution. - **Test Statistic =** [ ] (Round to three decimal places.) - **p-value =** [ ] (Round to four decimal places.)
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