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A boss wants to estimate the proportion of her employees who are satisfied with the company's parking policy. She puts all $600$ employees' names into a hat and picks $50$ different names out of the hat. Of the $50$, $47$ are satisfied with parking policy and $3$ are not satisfied with it.

Which condition for constructing a $1$-sample $z$-interval for proportions has the boss failed to satisfy?


The data is a random sample from the population of interest.


The normality rule for success is not satisfied.


The normality rule for failure is not satisfied.


The sample is less than $10\%$ of the population.


All of the conditions have been satisfied.

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