A television station plans to ask a random sample of 400 city residents if they can name the news anchor on the evening news at their station. They plan to fire the news anchor if fewer than 10% of the residents in the sample can do so. Suppose that in fact 12% of city residents could name the anchor if asked. Population Parameter of interest Value of the parameter   a) Does the sample proportion follow a normal? Does CLT hold?   b) State the mean and standard deviation for the sample proportion   c) Find the probability that the news anchor will be fired?

MATLAB: An Introduction with Applications
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A television station plans to ask a random sample of 400 city residents if they can name the news anchor on the evening news at their station. They plan to fire the news anchor if fewer than 10% of the residents in the sample can do so. Suppose that in fact 12% of city residents could name the anchor if asked.

Population

Parameter of interest

Value of the parameter

 

a) Does the sample proportion follow a normal? Does CLT hold?

 

b) State the mean and standard deviation for the sample proportion

 

c) Find the probability that the news anchor will be fired? 

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