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.
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.
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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