Question

Is steak your favorite barbeque food? July is National Grilling Month in the United States. On July 1, 2008, The Harris Poll #70 reported on a survey of Americans’ grilling preferences. When asked about their favorite food prepared on a barbeque, 662 of 1,250 randomly sampled Democrats preferred steak, as compared to 586 of 930 randomly sampled Republicans.

a. Give a point estimate for the proportion of all Democrats who prefer steak as their favorite barbeque food.

Short answer

1. The point estimate for the proportion of all democrats is 0.5296.

Step-by-step solution

Given Information

The sample size of democrats is 1250.

The sample size of republicans is 930.

And \({x_1} = 662\;and\;{x_2} = 586\)

Point Estimate

The value of a sample statistic that is used to estimate the population parameter is called a point estimate. It is a single number. The selected statistic is called a point estimator.

Compute Point Estimate

The point estimate for the proportion of all democrats is computed as

\(\begin{aligned}{c}{{\hat p}_1} &= \frac{{{x_1}}}{{{n_1}}}\\ &= \frac{{662}}{{1250}}\\ = 0.5296\end{aligned}\)

Therefore, the point estimate for the proportion of all democrats is 0.5296.