In a small town, there are 3,000 registered voters. An editor of a local newspaper would like to predict the outcome of the next election; in particular, he is interested in the likelihood that Eli Brady will be elected. The editor believes that Eli, a local hero, will garner 54% of the vote. A poll of 500 registered voters is taken.
Assuming that the editor's belief is true, calculate:
A) The expected value and the standard deviation (standard error) of the sample proportion.
B) The probability that the sample proportion score is more than 0.58.

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The Answer of In a small town, there are 3,000 registered voters. An editor of a local newspaper would like to predict the outcome of the next election; in particular, he is interested in the likelihood that Eli Brady will be elected. The editor believes that Eli, a local hero, will garner 54% of the vote. A poll of 500 registered voters is taken.
Assuming that the editor's belief is true, calculate:
A) The expected value and the standard deviation (standard error) of the sample proportion.
B) The probability that the sample proportion score is more than 0.58.

In a Small Town, There Are 3,000 Registered Voters