Question

Best on-time airlines: Hawaiian Airlines topped the list of the most punctual U.S. airlines for full-year 2014, according to data released by the Bureau of Transportation Statistics. The on-time arrival performance was 91.9% Another aviation data service believes that this percentage now is even higher. The team of researchers chose 130 randomly selected flights and find that 120 of the flights arrived on time.

Can a hypothesis test be used to determine whether the proportion of Hawaiian Airlines flights that arrive on-time is higher than 91.9%?

Answer 1

Yes, because sample is random and (130)(0.919) and (130)(0.081) are both at least 10. This means the normal model is good fit for the sampling distribution.

Explanation:

Consider the provided information.

130 randomly selected flights and find that 120 of the flights arrived on time.

n=130

The on-time arrival performance was 91.9%

p=0.919 and q=1-0.919=0.081

`np=130* 0.919\\np=119.5\geq 10`

`nq=130*0.081\\nq=10.5\geq 10`

Hence, Yes, because sample is random and (130)(0.919) and (130)(0.081) are both at least 10. This means the normal model is good fit for the sampling distribution.