Question

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	8
Aircraft arriving late	10
Other (weather and other conditions)	13

When a study was conducted it was found that of the 233 randomly selected flights, 163 were on time, 21 were a National Aviation System Delay, 23 arriving late , 26 were due to weather. Perform a test to see if there is sufficient evidence at αα = 0.10 to see if these differ from the governments statistics.

The correct hypotheses are:

• H0:H0: The sample is a good fit to the Bureau of Transportation Statistics. HA:HA: The sample is not a good fit to the Bureau of Transportation Statistics.(claim)
• H0:H0: The sample is not a good fit to the Bureau of Transportation Statistics. HA:HA: The sample is a good fit to the Bureau of Transportation Statistics.(claim)
• H0:H0: The sample and the Bureau of Transportation Statistics are independent. HA:HA: The sample and the Bureau of Transportation Statistics are dependent.(claim)
• H0:H0: The sample and the Bureau of Transportation Statistics are dependent. HA: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

• reject H0H0
• do not reject H0H0

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.

Answer 1

The statistical software output for this problem is:

From above output:

Hypotheses: H0:H0: The sample is a good fit to the Bureau of Transportation Statistics. HA:HA: The sample is not a good fit to the Bureau of Transportation Statistics.(claim) Option A is correct.

Test value = 0.941

p - Value = 0.816

Do not reject Ho

Conclusion: Option D is correct.