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Population Proportion in an Election

Problem
In a certain county, two candidates are running for a county office. A couple of hours into the voting, a thousand of the votes cast have been counted and the candidate belonging to party X is leading with 51% of the 1000 votes counted so far. The local TV station wants to determine if a winner can be projected. A candidate would be projected as the winner if the candidate's final proportion of votes cast (the final outcome) can be expected be to be greater than 50% with a level of significance of 1%. Assuming that the 1000 votes counted so far constitute a random sample, can the candidate belonging to party X be projected as the winner.
Hint: The candidate would be projected as the winner if the population proportion is greater than 0.50 with a level of significance (alpha) equal to 0.01.

Solution Preview

In a certain county, two candidates are running for a county office. A couple of hours into the voting, a thousand of the votes cast have been counted and the candidate belonging to party X is leading with 51% of the 1000 votes counted so far. The local TV station wants to determine if a winner can be projected. A candidate would be projected as the winner if the candidate's final proportion of votes cast (the final outcome) can be expected to be greater than 50% with a level of significance of 1%. Assuming that the 1000 votes counted so far constitute a random sample, can the candidate belonging to party X be projected as the winner?
Hint: The candidate would be projected as the winner if the population proportion were greater than 0.50 with a level of significance (alpha) equal to 0.01.

This is a test for proportion for large sample. The ...

Solution Summary

The solution determines if a candidate belonging to party X can be projected as a winner.

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