A company makes auto batteries. They claim that 84 % of their LL70 batteries are good for 70 months or longer. Assume that this claim is true. Let p Overscript ^ EndScripts be the proportion in a random sample of 60 such batteries that are good for 70 months or more. a. What is the probability that this sample proportion is within 0.03 of the population proportion? Round your answer to two decimal places. b. What is the probability that this sample proportion is less than the population proportion by 0.05 or more? Round your answer to two decimal places.
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