Question

On election day in 2004, 51% of the voters in the United States voted for George W. Bush. If a sampling distribution of p^ were predicted for random samples of 900 voters, what would be its mean?

Answer 1

In this case, the mean of the sampling distribution would be 0.51.

Step-by-step explanation:

The mean of the sampling distribution, denoted by the symbol μₚ , can be found using the formula:

μₚ = p

Where p is the proportion of voters who voted for George W. Bush in the population.

In this case, p represents the proportion of voters who voted for George W. Bush on election day in 2004, which is given as 51% or 0.51.

Therefore, the mean (μ) of the sampling distribution of ₚ for random samples of 900 voters would be 0.51.

In summary, the mean of the sampling distribution of ₚ would be 0.51.