According to a poll, 55% of Americans do not know that GOP stands for Grand Old Party

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According to a poll, 55% of Americans do not know that GOP stands for Grand Old Party (Time, October 17, 2011). Assume that this percentage is true for the current population of Americans. Let p̂ be the proportion in a random sample of 900 Americans who do not know that GOP stands for Grand Old Party. Find the probability that the value of p̂ will be
a. Less than .58
b. Between .53 and .59
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