Flying Home for the Holidays, On Timewe compared the average difference between actual and scheduled arrival times for December flights on two major airlines:DeltaandUnited. Suppose now that we are only interested in the proportion of flights arriving more than 30 minutes after the scheduled time. Of the 1000Deltaflights, 45 arrived more than 30 minutes late, and of the 1000Unitedflights, 114 arrivedmore than 30 minutes late. We are testing to see if this provides evidence to conclude that the proportion of flights that are over 30 minutes late is different between flyingUnitedorDelta.

1) State the null and alternative hypothesis

2) What statistic will be recorded for each of the simulated samples to create the randomization distribution? What is the value of that statistic for the observed sample?

3) UseStatKeyor other technology to create a randomization distribution. Estimate the p-value for the observed statistic found in part (b).

4) At a significance level of= 0.01, what is the conclusion of the test? Interpret in context.

5) Now assume we had only collected samples of size 88, but got roughly the same proportions (4/88 late flights forDeltaand 10/88 late flights forUnited). Repeating steps (b) through (d) on these smaller samples, do you come to the same conclusion?