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4. (10pts) Suppose that 40% of U.S. voters are Democrats. What is the probability that in...

4. (10pts) Suppose that 40% of U.S. voters are Democrats. What is the probability that in a sample of 200 voters that at least 90 people will be Democrat?

Math   Statistics-And-Probability   
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Answer #1

P[ voters are Democrat ] = 40% = 0.4

Sample size = n = 200

P[ At least 90 ] = P[ X > 90 ] = P[ p > 90/200 ] = P[ p > 0.45 ]

The following information has been provided about the population proportion and the sample size:

Population Proportion = 0.4
Sample Size = 200

We need to compute . Based on the information provided, the population men of sample proportions and the corresponding standard error are:

Now, the following is obtained using normal approximation:

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