According to the Bureau of Transportation Statistics, on-time performance by airlines is described as follows: Action % of time On Time 69 National Aviation System Delay Aircraft arriving late 7 9 Other (weather and other conditions) 15 When a study was conducted it was found that of the 238 randomly selected flights, 171 were on time, 17 were a National Aviation System Delay, 21 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)

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question 5

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

- **On Time:** 69% of the time
- **National Aviation System Delay:** 7%
- **Aircraft Arriving Late:** 9%
- **Other (weather and other conditions):** 15%

A study was conducted on 238 randomly selected flights, resulting in the following findings:
- 171 flights were on time
- 17 flights experienced a National Aviation System Delay
- 21 flights arrived late
- 29 flights were delayed due to weather

The task is to perform a statistical test to determine if there is sufficient evidence at the significance level \(\alpha = 0.01\) to conclude that these results differ from the government statistics.

### Hypothesis Testing Options:

1. **Hypothesis Set 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. **Hypothesis Set 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. **Hypothesis Set 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)
Transcribed Image Text:According to the Bureau of Transportation Statistics, on-time performance by airlines is described as follows: - **On Time:** 69% of the time - **National Aviation System Delay:** 7% - **Aircraft Arriving Late:** 9% - **Other (weather and other conditions):** 15% A study was conducted on 238 randomly selected flights, resulting in the following findings: - 171 flights were on time - 17 flights experienced a National Aviation System Delay - 21 flights arrived late - 29 flights were delayed due to weather The task is to perform a statistical test to determine if there is sufficient evidence at the significance level \(\alpha = 0.01\) to conclude that these results differ from the government statistics. ### Hypothesis Testing Options: 1. **Hypothesis Set 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. **Hypothesis Set 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. **Hypothesis Set 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)
The text on the image appears as follows:

---

The test value is [blank] (round to 3 decimal places)

The p-value is [blank] (round to 3 decimal places)

The correct decision is to:
- ○ reject \( H_0 \)
- ○ do not reject \( H_0 \)

The final conclusion is:
- ○ 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.

--- 

This text seems to be part of a decision-making process in hypothesis testing, including spaces for inputting numerical values for test statistics and p-values, and options for drawing conclusions based on statistical evidence. No graphs or diagrams are present in this image.
Transcribed Image Text:The text on the image appears as follows: --- The test value is [blank] (round to 3 decimal places) The p-value is [blank] (round to 3 decimal places) The correct decision is to: - ○ reject \( H_0 \) - ○ do not reject \( H_0 \) The final conclusion is: - ○ 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. --- This text seems to be part of a decision-making process in hypothesis testing, including spaces for inputting numerical values for test statistics and p-values, and options for drawing conclusions based on statistical evidence. No graphs or diagrams are present in this image.
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