As a project for her statistics class, a college student is interested in knowing what proportion of students at her college recycle aluminum cans.    (a)The student would like her sample proportion to be within 0.04 of the true population proportion p. Can she make this happen? How? Or why not?   (b)The student instead decides to make sure that 95% of all possible samples would have a sample proportion that is within 0.04 (Margin of Error) of the true population proportion. What does this mean the standard error must be? You can use the 68-95-99.7 Rule. (c)Assuming p = 0.5, how big should her sample size be? Use the results of the standard error from part (b).

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  1. As a project for her statistics class, a college student is interested in knowing what proportion of students at her college recycle aluminum cans. 

 

(a)The student would like her sample proportion to be within 0.04 of the true population proportion p. Can she make this happen? How? Or why not?

 

(b)The student instead decides to make sure that 95% of all possible samples would have a sample proportion that is within 0.04 (Margin of Error) of the true population proportion. What does this mean the standard error must be? You can use the 68-95-99.7 Rule.

(c)Assuming p = 0.5, how big should her sample size be? Use the results of the standard error from part (b).

 

 

 

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