# 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.

https://brainmass.com/statistics/hypothesis-testing/population-proportion-election-259665

#### 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.