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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

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.

Letp-hatbe the proportion in a sample of 100 such batteries that are good for 70 months or longer.

What is the probability thatp-hatis:

a) Within .05 of the population proportion?

b) Less than the population proportion by .06 or more?

c) Greater than the population proportion by .07 or more?

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