# Question

Mong Corporation makes auto batteries. The company claims that 80% of its LL70 batteries are good for 70 months or longer. Assume that this claim is true. Let p̂ be the proportion in a sample of 100 such batteries that are good for 70 months or longer.
a. What is the probability that this sample proportion is within .05 of the population proportion?
b. What is the probability that this sample proportion is less than the population proportion by .06 or more?
c. What is the probability that this sample proportion is greater than the population proportion by .07 or more?

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