Suppose Public Opinion Is Split 65% Against and 35% for Increasing

Short Answer

Suppose public opinion is split 65% against and 35% for increasing taxes to help balance the federal budget. 500 people from the population are selected randomly and interviewed.
Is the sampling distribution of the sample proportion of people who are in favor of increasing taxes to help balance the federal budget approximately normal?
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What is the mean?
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What is the standard deviation?
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What is the probability the proportion favoring a tax increase is more than 30%?
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