Question

Suppose the Federal Aviation Administration (FAA) would like to compare the on-time performances of different airlines on domestic, nonstop flights. The following table shows three different airlines and the frequency of flights that arrived early, on-time, and late for each. Identify the correct conclusion using the 0.05 level of significance. (My formatting for the data is going to be weird because Chegg won't let me post pictures)

------------------------Early----------On-time-------------Late

Delta------------------43---------------42-------------------30

U.S Airlines---------27---------------31--------------------20

Southwest----------10----------------19-------------------17

Pearson Chi Square 4.313

DF 4.0

P-value .3652

Answer 1

The null and alternative Hypothesis:

: The three different airlines and the frequency of flights are independent.

: The three different airlines type and the frequency of flights are dependent

Pearson Chi Square = 4.313

DF = 4.0

P-value = 0.3652

Conclusion: The p-value of Pearson Chi Square teat is 0.3652. This p-value is greater than 0.05. Hence we accept null hypothesis at 5% level of significance and conclude that the three different airlines and the frequency of flights are independent.