A university department chair believes that the afternoon section of a large survey class has a consistently higher proportion of students that pass the class compared to the morning section. The chair checks a random sample of student records from each section. The results of the data collected are shown below.

Morning Section Afternoon Section

Successes 419 Successes 532

Observations 500 Observations 600

Proportion 0.838 Proportion 0.887

Confidence Level 95%

z-score 2.366

p-value 0.0089

Morning section samples: nM=

Sample proportion for morning section samples: p^M=

Afternoon section samples: nA=

p=

Sample proportion for afternoon section samples: