Question

At a recent baseball game of 7,525 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.

Ketchup Mustard Chili
63 27 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
1,355
3,010
3,161
4,365

Answer 1

Using proportion from the sample of 150 people where 63 preferred ketchup, the estimated number of ketchup preferences in the full attendance of 7,525 is approximately 3,161 people. The correct answer is option: 3,161

Step-by-step explanation:

The student asked how many of the people in attendance at a baseball game would prefer ketchup on a hot dog, based on a sample of 150 people where 63 preferred ketchup.

To find the estimated number for the entire attendance of 7,525 people, we will use the proportion of people who preferred ketchup in the sample to estimate the full attendance.

We calculate the proportion of ketchup preference in the sample as 63 out of 150. To find the number of ketchup preferences in the full attendance, we multiply this proportion by the total attendance:

Proportion of ketchup preference = 63 / 150

Estimated number of ketchup preferences in full attendance = Proportion of ketchup preference * Total attendance
= (63 / 150) * 7,525
= 0.42 * 7,525
= 3,160.5

Since we can't have half a person, we round to the nearest whole number, giving us 3,161 people who would prefer ketchup on a hot dog at the baseball game.