According to the Bureau of Transportation Statistics, on-time performance by airlines is described as follows: Action % of time On Time National Aviation System Delay Aircraft arriving late Other (weather and other conditions) 72 9 9. 10 When a study was conducted it was found that of the 223 randomly selected flights, 156 were on time, 16 were a National Aviation System Delay, 22 arriving late , 29 were due to weather. Perform a test to see if there is sufficient evidence at a = 0.01 to see if these differ from the governments statistics. The correct hypotheses are: O Ho: The sample is a good fit to the Bureau of Transportation Statistics. HA: The sample is not a good fit to the Bureau of Transportation Statistics. (claim) O Ho: The sample is not a good fit to the Bureau of Transportation Statistics. HA: The sample is a good fit to the Bureau of Transportation Statistics. (claim) O Ho: The sample and the Bureau of Transportation Statistics are independent. HA: The sample and the Bureau of Transportation Statistics are dependent. (claim) O Ho: The sample and the Bureau of Transportation Statistics are dependent. HA: The sample and the Bureau of Transportation Statistics are independent. (claim) The test value is (round to 3 decimal places) The p-value is (round to 3 decimal places) The correct decision is to O reject Ho O do not reject Ho The final conclusion is O There is enough evidence to reject the claim. O There is not enough evidence to reject the claim. O There is enough evidence to support the claim. O There is not enough evidence to support the claim.

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**On-Time Performance of Airlines**

According to the Bureau of Transportation Statistics, on-time performance by airlines is described as follows:

| **Action**                        | **% of time** |
|-----------------------------------|------------|
| On Time                           | 72         |
| National Aviation System Delay    | 9          |
| Aircraft arriving late            | 9          |
| Other (weather and other conditions) | 10         |

In a recent study, it was found that of 223 randomly selected flights:
- 156 were on time.
- 16 experienced a National Aviation System Delay.
- 22 arrived late.
- 29 were delayed due to weather.

The objective is to perform a test to determine if there is sufficient evidence at α = 0.01 to see if these findings differ from the government statistics.

**Hypotheses for Testing:**

1. \( H_0 \): The sample is a good fit to the Bureau of Transportation Statistics.
   
   \( H_A \): The sample is not a good fit to the Bureau of Transportation Statistics. (claim)

2. \( H_0 \): The sample is not a good fit to the Bureau of Transportation Statistics.
   
   \( H_A \): The sample is a good fit to the Bureau of Transportation Statistics. (claim)

3. \( H_0 \): The sample and the Bureau of Transportation Statistics are independent.
   
   \( H_A \): The sample and the Bureau of Transportation Statistics are dependent. (claim)

4. \( H_0 \): The sample and the Bureau of Transportation Statistics are dependent.
   
   \( H_A \): The sample and the Bureau of Transportation Statistics are independent. (claim)

**Testing Values:**

- **The test value is:** ____________ (rounded to 3 decimal places)
- **The p-value is:** ____________ (rounded to 3 decimal places)

**Decision:**

- Reject \( H_0 \)
- Do not reject \( H_0 \)

**Final Conclusion:**

- There is enough evidence to reject the claim.
- There is not enough evidence to reject the claim.
- There is enough evidence to support the claim.
- There is not enough evidence to support the claim.
Transcribed Image Text:**On-Time Performance of Airlines** According to the Bureau of Transportation Statistics, on-time performance by airlines is described as follows: | **Action** | **% of time** | |-----------------------------------|------------| | On Time | 72 | | National Aviation System Delay | 9 | | Aircraft arriving late | 9 | | Other (weather and other conditions) | 10 | In a recent study, it was found that of 223 randomly selected flights: - 156 were on time. - 16 experienced a National Aviation System Delay. - 22 arrived late. - 29 were delayed due to weather. The objective is to perform a test to determine if there is sufficient evidence at α = 0.01 to see if these findings differ from the government statistics. **Hypotheses for Testing:** 1. \( H_0 \): The sample is a good fit to the Bureau of Transportation Statistics. \( H_A \): The sample is not a good fit to the Bureau of Transportation Statistics. (claim) 2. \( H_0 \): The sample is not a good fit to the Bureau of Transportation Statistics. \( H_A \): The sample is a good fit to the Bureau of Transportation Statistics. (claim) 3. \( H_0 \): The sample and the Bureau of Transportation Statistics are independent. \( H_A \): The sample and the Bureau of Transportation Statistics are dependent. (claim) 4. \( H_0 \): The sample and the Bureau of Transportation Statistics are dependent. \( H_A \): The sample and the Bureau of Transportation Statistics are independent. (claim) **Testing Values:** - **The test value is:** ____________ (rounded to 3 decimal places) - **The p-value is:** ____________ (rounded to 3 decimal places) **Decision:** - Reject \( H_0 \) - Do not reject \( H_0 \) **Final Conclusion:** - There is enough evidence to reject the claim. - There is not enough evidence to reject the claim. - There is enough evidence to support the claim. - There is not enough evidence to support the claim.
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