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Modeling wages

Joined
3/29/17
Messages
2
Points
11
Hello,

I'm trying to estimate the share of working population by state that's being paid below the minimum wage. I have the following variables:

Working population
Standard error of the working population
Aveage hourly wage
Standard error of the hourly wage
Minimum wage
Hourly wage for the 10th, 25th, 50th, 75th and 90th percentiles

How could I estimate the share of the working population, say that's getting paid less than $10/hour, without having the sample size (I think the latter to calculate the standard deviation of the mean to estimate the cumulative probability function)?

Would it be possible to estimate the distribution using only the four percentile values and assuming a lognormal distribution?

I'm trying to do this in Excel but willing to use R if needed. Any help is greatly appreciated.
 
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