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Please show all work and provide legible responces. Suppose that a 2000 Census showed that 33%...

Please show all work and provide legible responces.

Suppose that a 2000 Census showed that 33% of all adults own more than one vehicle.  You will be surveying 79 individuals and are curious about the current proportion of people who own more than one vehicle.  Answer the following questions

  1. Prove that this situation can be modeled using a normal distribution.  In other words, verify the conditions for p-hat being normally distributed.  Then state the mean and st dev of p-hat.
  1. What is the probability that more than 39% of the surveyed people own more than 1 car?  Is this unusual, why or why not?
  1. What is the probability that between 26% and 38% of surveyed people own more than 1 car?
Math   Statistics-And-Probability   
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