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 Successes Observations Proportion Confidence level Z-score p-value Afternoon section 419 Successes 500 Observations 0.838 Proportion 95% 2.366 0.0089 532 600 0.887 Morning section samples: n= Ex: 9 Afternoon section samples: nA = -3 -2 -1 0 1 p= Ex: 1.234 z = Sample proportion for morning section samples: M = Ex: 1.234 Sample proportion for afternoon section samples: A = 2 3

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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
Successes
Observations
Proportion
Confidence level
Z-score
p-value
Afternoon section
419 Successes
500 Observations
0.838 Proportion
95%
2.366
0.0089
532
600
0.887
-3
-2
=
Morning section samples: M Ex: 9
Afternoon section samples: nA =
Sample proportion for morning section samples: ÎM = Ex: 1.234
Sample proportion for afternoon section samples: PA
-1
0
P= Ex: 1.234
2=
||
1
2
3
Transcribed Image Text: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 Successes Observations Proportion Confidence level Z-score p-value Afternoon section 419 Successes 500 Observations 0.838 Proportion 95% 2.366 0.0089 532 600 0.887 -3 -2 = Morning section samples: M Ex: 9 Afternoon section samples: nA = Sample proportion for morning section samples: ÎM = Ex: 1.234 Sample proportion for afternoon section samples: PA -1 0 P= Ex: 1.234 2= || 1 2 3
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