A sample of 345 registered voters in a state were asked which party's candidate they planned to vote for in an upcoming election. 170 of those surveyed said that they planned to vote for the Republican candidate. Calculate the sample proportion of voters who planned to vote for the Republican candidate. Either give the exact fraction or decimal, or round to three decimal places.

Question

Travis Gilmore

Mathematics

15 January, 04:10

A sample of 345 registered voters in a state were asked which party's candidate they planned to vote for in an upcoming election. 170 of those surveyed said that they planned to vote for the Republican candidate. Calculate the sample proportion of voters who planned to vote for the Republican candidate. Either give the exact fraction or decimal, or round to three decimal places.

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Answers (1)

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Peyton Barton · Answer 1

0.493

Step-by-step explanation:

The sample proportion of voters planned to vote for Republican candidate can be calculate by dividing the number of voters planned to vote for Republican candidate in a sample to the registered voters in a sample.

It can be written as

p=x/n where x is number of voters planned to vote for Republican candidate and n is number of registered voters in a sample.

p=170/345=0.4928=0.493 or 49.3%

Thus, the sample proportion of voters who planned to vote for the Republican candidate is 0.493.