MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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According to the Bureau of Transportation Statistics, on-time performance by airlines is described as follows:

Action % of time
On Time 70
National Aviation System Delay 8
Aircraft arriving late 9
Other (weather and other conditions) 13

When a study was conducted it was found that of the 220 randomly selected flights, 154 were on time, 18 were a National Aviation System Delay, 20 arriving late , 28 were due to weather. Perform a test to see if there is sufficient evidence at αα = 0.01 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.
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