A Rutgers University study released in 2002 found that many high school students

Question

A Rutgers University study released in 2002 found that many high school students cheat on tests. The researchers surveyed a random sample of 4500 high school students nationwide; 74% of them said they had cheated at least once. Check conditions for, and create and interpret a 95% confidence interval for the level of cheating among hight school students.

Must Include

- Random Sample
- Plasable independence
- 10% condition
- is the sample size large enough??

Explanation / Answer

random sample: given plausible independence: OK, due to random sample 10%: 4500 HS students is way less than 10% of all HS students nationwide large enough? np^ = 4500*.74 >10 and nq^ = 7400*.26>10, so large enough ME = z* sqrt(p^q^/n) = 1.96*sqrt(.74*.26/4500) = 0.013 0.74-0.013=0.737 0.74+0.013=0.753 0.737

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