University officials hope that changes they have made have improved the retention rate. In 2010, a sample of 1926 freshmen showed that 1400 returned as sophomores. In 2011, 1508 of 2011 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that the retention rate has improved. Ho: P₁ P₂ Ha: P₁ P2 p = P₁ = P = x₁+x₂ 1400 1926 1400+1505 ntr 1926+2011 = .73 2905 3937 = .74 1508 P2 = 20 = .75 2011

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University officials hope that changes they have made have improved the retention rate. In
2010, a sample of 1926 freshmen showed that 1400 returned as sophomores. In 2011, 1508 of
2011 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the
0.05 level to say that the retention rate has improved.
Ho: P₁ P₂
Ha: P₁
P2
p =
P₁ =
P = x₁+x₂
1400
1926
1400+1505
ntr 1926+2011
= .73
2905
3937
= .74
1508
P2 = 20 = .75
2011
Transcribed Image Text:University officials hope that changes they have made have improved the retention rate. In 2010, a sample of 1926 freshmen showed that 1400 returned as sophomores. In 2011, 1508 of 2011 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that the retention rate has improved. Ho: P₁ P₂ Ha: P₁ P2 p = P₁ = P = x₁+x₂ 1400 1926 1400+1505 ntr 1926+2011 = .73 2905 3937 = .74 1508 P2 = 20 = .75 2011
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