University officials hope that changes they have made have improved the retention rate. Last year, a sample of 20492049 freshmen showed that 1537 returned as sophomores. This year, 1516 of 1942 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that the retention rate has improved. Let last year's freshmen be Population 1 and let this year's freshmen be Population 2.   Step 1 of 3:  State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p1=p2: Ha: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2 Step 2 of 3:  Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3:  Draw a conclusion and interpret the decision.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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University officials hope that changes they have made have improved the retention rate. Last year, a sample of 20492049 freshmen showed that 1537 returned as sophomores. This year, 1516 of 1942 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that the retention rate has improved. Let last year's freshmen be Population 1 and let this year's freshmen be Population 2.
 
Step 1 of 3: 
State the null and alternative hypotheses for the test. Fill in the blank below.

H0Ha: p1=p2: Ha: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2
Step 2 of 3: 
Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 3: 
Draw a conclusion and interpret the decision.
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