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The proportion of residents in Phoenix favoring the building of toll roads to complete the freeway...

The proportion of residents in Phoenix favoring the building of toll roads to complete the freeway system is believed to be p = 0.3. If a random sample of 15 residents shows that one or fewer favor this proposal, we will conclude that p < 0.3.

  1. Find the probability of type I error if the true proportion is p = 0.3.
  2. Find the probability of committing a type II error with this procedure if p = 0.2.
  3. What is the power of this procedure if the true proportion is p = 0.2?
Math   Statistics-And-Probability   
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