Christine is in charge of planning a reception for 3800 people. She is trying to decide which snacks to buy. She has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results.
Favorite Snack Number of People
Cake 30
Pretzels 27
Cookies 59
Other 64
Based on the above sample, predict the number of the people at the reception whose favorite snack will be pretzels. Round your answer to the nearest whole number. Do not round any intermediate calculations.
people
To predict the number of people at the reception whose favorite snack will be pretzels, we can use the proportion of people in the sample who chose pretzels.
Number of people who chose pretzels in the sample: 27
Total number of people in the sample: 30 + 27 + 59 + 64 = 180
Proportion of people who chose pretzels in the sample: 27/180 = 0.15
Now, we use this proportion to predict the number of people at the reception whose favorite snack will be pretzels:
Predicted number of people at the reception whose favorite snack will be pretzels: 0.15 * 3800 = 570
Therefore, the predicted number of the people at the reception whose favorite snack will be pretzels is 570.