In the following questions, select the appropriate alternative hypothesis, find the relevant sample proportions in each group, find the pooled proportion, find the test statistic, and give the appropriate conclusion for the hypothesis test. You may assume that any necessary conditions hold for the hypothesis test. Give your answers to 4 decimal places.

The following table gives survival data for two treatments in a clinical trial. Test whether patients getting Treatment A are more likely to survive than patients getting Treatment B.
Survive Do not survive Total
Treatment A 63 21 84
Treatment B 32 33 65
Total 95 54 149

What is the appropriate null hypothesis?
i. H0:pA=pB ii. H0:pA pB iv. H0:pA≠pB
What is the appropriate alternative hypothesis?
i. Ha:pA=pB ii. Ha:pA pB iv. Ha:pA≠pB
Sample proportions: pˆA=
, pˆB=
Pooled proportion: pˆ=
Test statistic: z=
The p-value for this test is 0.0006. What is the appropriate conclusion? Use α=0.05.
i. Reject H0 ii. Fail to reject H0
The following table gives flight arrival numbers from a random sample of flights for two airlines. Test whether there is a difference between the two airlines in percent of flights that arrive on-time.
Early On-time Late Total
Airline A 107 427 148 682
Airline B 72 353 93 518
Total 179 780 241 1200

What is the appropriate null hypothesis?
i. H0:pA=pB ii. H0:pA pB iv. H0:pA≠pB
What is the appropriate alternative hypothesis?
i. Ha:pA=pB ii. Ha:pA pB iv. Ha:pA≠pB
Sample proportions: pˆA=
, pˆB=
Pooled proportion: pˆ=
Test statistic: z=
The p-value for this test is 0.0464. What is the appropriate conclusion? Use α=0.05.
i. Reject H0 ii. Fail to reject H0