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## University officials hope that changes have improved the retention rate. In 2018, a sample of 2006 freshman showed that 1521 returned as sophomores. In 2019, 1598 of 2056 freshman sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that retention rate has improved.  1. H^0:? 2. H^1:? 3. Critical value(s):? 4. Graph rejection regions with labelled critical value(s) 5. Test statistic: ? (Must state what test stat is being used (z,t, etc.) the formula being used, and what values are substituted into the formula).  6. P-value:? 7. State the conclusion of the test in the constect of the problem (for example, not just “reject null,” but what does it mean for this specific problem.

University officials hope that changes have improved the retention rate. In 2018, a sample of 2006 freshman showed that 1521 returned as sophomores. In 2019, 1598 of 2056 freshman sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that retention rate has improved.

1. H^0:?

2. H^1:?

3. Critical value(s):?

4. Graph rejection regions with labelled critical value(s)

5. Test statistic: ? (Must state what test stat is being used (z,t, etc.) the formula being used, and what values are substituted into the formula).

6. P-value:?

7. State the conclusion of the test in the constect of the problem (for example, not just “reject null,” but what does it mean for this specific problem.

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