A simple random sample of 826 payday loan borrowers was surveyed to better understand their interests around regulation and costs. 70% of the responses supported new regulations on payday lenders.   a) Is it reasonable to model ^p = 0.70 using a normal distribution? (hint: check if the conditions for a single proportion are satisfied)      b) Estimate the standard error of ^p = 0:70. Because p is unknown and the standard error is for a confidence interval, use ^p in place of p in the formula.

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A simple random sample of 826 payday loan borrowers was surveyed to better understand their interests around regulation and costs. 70% of the responses supported new regulations on payday lenders.

 

a) Is it reasonable to model ^p = 0.70 using a normal distribution?

(hint: check if the conditions for a single proportion are satisfied) 

 

 

b) Estimate the standard error of ^p = 0:70. Because p is unknown and the standard error is for a confidence interval, use ^p in place of p in the formula.

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