Question

marta is in charge of planning a reception for 3200 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: potato chips, pretzels, cookies, other; number of people: 42, 28, 45, 60. based on the above sample, predict the number of the people at the reception whose favorite snack will be potato chips. round your answer to the nearest whole number. do not round any intermediate calculations.

Explanation:

Step1: Calculate sample size

First, find the total number of people in the sample. $60 + 45+28 + 42=175$ people.

Step2: Find proportion of potato - chip lovers

The number of people who like potato chips in the sample is 42. The proportion $p$ of people who like potato chips in the sample is $p=\frac{42}{175}$.

Step3: Predict for the whole population

There are 3200 people at the reception. Multiply the proportion by the total number of people at the reception to get the predicted number of potato - chip lovers. Let $N$ be the predicted number. $N=\frac{42}{175}\times3200$.
$N = \frac{42\times3200}{175}=\frac{134400}{175}=768$.

Answer:

768