Question

Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.

This sample statistic suggests that we might expect ________ of the 10,000 registered voters to vote for Brown.

a) 0.143
b) 0.188
c) 0.500
d) 0.625

Answer 1

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.188. This sample statistic suggests that we might expect approximately 1880 of the 10,000 registered voters to vote for Brown.

Step-by-step explanation:

The given options present potential sample statistics for the proportion of voters supporting Brown. To find the correct answer, we look for the option that aligns with the provided sample statistic. In this case, option (b) 0.188 corresponds to the given sample statistic. Therefore, the final answer is 0.188.

Now, let's explain this further. The proportion is a fraction or decimal, not a percentage. To convert the proportion to a number of voters, we multiply it by the total number of registered voters. In this scenario, the calculation would be:

`\[0.188 * 10,000 = 1880\]`

This means that approximately 1880 out of the 10,000 registered voters surveyed are expected to vote for Brown based on the sample statistic. It's important to note that sample statistics provide estimates for the population parameter, but there is inherent variability in survey samples. Therefore, this is an expected value, and the actual election results may vary.

In conclusion, the correct answer is (b) 0.188, and the corresponding expectation is that around 1880 out of the 10,000 registered voters would vote for Brown based on the sample statistic. This interpretation is derived from the principles of statistics and probability applied to survey data.