A market research firm conducts telephone surveys with a 43% historical response rate. a. What is the...

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A market research firm conducts telephone surveys with a 43%historical response rate.

a. What is the probability that in a new sampleof 400 telephone numbers, at least 160 individuals will cooperateand respond to the questions? In other words, what is theprobability that the sample proportion will be at least 160/400 =0.4?

Calculate the standard error to 4 decimals.  
Calculate the probability to 4 decimals, showing your steps alongthe way.
P( ?  ) = P(z ?  ) =  

b. If a follow-up study was completed a year laterwith only 64 telephone numbers, what is the probability that theresponse rate was between 39% and 48%?
Calculate the standard error to 4 decimals.  
Calculate the probability to 4 decimals, showing your steps alongthe way.
P(  ?  ?  ) = P(  ? z?  )=   -   =  

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