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The national freshman-to-sophomore retention rate has held steady at 74%. A certain college has 507 of the 580 freshman return as sophomores. Does this college have a right to brag that it has an unusually high retention rate? Choose from the following. A. No, because their retention rate is not more than 3 standard deviations above the expected rate of 74%. B. Yes, because their retention rate is not more than 3 standard deviations above the expected rate of 74%. C. Yes, because their retention rate is over 7 standard deviations above the expected rate of 74%. D. No, because their retention rate is over 7 standard deviations above the expected rate of 74%. 

          The national freshman-to-sophomore retention rate has held steady at 74%. A certain college has 507 of the 580 freshman return as sophomores. Does this college have a right to brag that it has an unusually high retention rate?
Choose from the following.
A. No, because their retention rate is not more than 3 standard deviations above the expected rate of 74%.
B. Yes, because their retention rate is not more than 3 standard deviations above the expected rate of 74%.
C. Yes, because their retention rate is over 7 standard deviations above the expected rate of 74%.
D. No, because their retention rate is over 7 standard deviations above the expected rate of 74%.
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The national freshman-to-sophomore retention rate has held steady at 74%. A certain college has 507 of the 580 freshman return as sophomores. Does this college have a right to brag that it has an unusually high retention rate? Choose from the following. A. No, because their retention rate is not more than 3 standard deviations above the expected rate of 74%. B. Yes, because their retention rate is not more than 3 standard deviations above the expected rate of 74%. C. Yes, because their retention rate is over 7 standard deviations above the expected rate of 74%. D. No, because their retention rate is over 7 standard deviations above the expected rate of 74%.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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The national freshman-to-sophomore retention rate has held steady at 74%. A certain college has 507 of the 580 freshman return as sophomores. Does this college have a right to brag that it has an unusually high retention rate? Choose from the following. No, because their retention rate is not more than 3 standard deviations above the expected rate of 74%. Yes, because their retention rate is not more than 3 standard deviations above the expected rate of 74%. Yes, because their retention rate is over 7 standard deviations above the expected rate of 74%. No, because their retention rate is over 7 standard deviations above the expected rate of 74%.
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Transcript

-
00:01 Hey there, welcome to numerate.
00:04 So we have the national freshman to sophomore retention rate being held studied at 74%.
00:12 So our proportion, population proportion is 0 .74.
00:17 A certain college has 507 of the 580 freshman returned as sophomores.
00:25 So therefore, this will be represented as our sample proportion.
00:29 So this is the retention rate for our sample proportion, which is the 507 divided by 580, which basically gives us a proportion here that equals around 0 .87.
00:47 Remember to carry the decimals.
00:50 So what we basically have here is also our sample size given from our sample, which is 580.
00:58 Knowing this, we're going to be using the z score equation to see how far it is from the expected rate, how many standard deviations away...
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