Problem

Is steak your favorite barbeque food? July is National Grilling Month in the United States...

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 grill, 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.


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


c. Give a point estimate for the difference between the proportions of all Democrats and all Republicans who prefer steak as their favorite barbeque food.


d. Construct a 95% confidence interval for the difference between the proportions of all Democrats and all Republicans who prefer steak as their favorite barbeque food.


e. Give a practical interpretation of the interval, part d.


f. Explain the meaning of the phrase “95% confident” in your answer to part e.

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