Questions: Mary is in charge of planning a reception for 3400 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 ------ Brownies 31 Cookies 20 Chips 51 Other 65 Based on the above sample, predict the number of the people at the reception whose favorite snack will be chips or cookies. Round your answer to the nearest whole number. Do not round any intermediate calculations. people

Mary is in charge of planning a reception for 3400 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
------
Brownies 31
Cookies 20
Chips 51
Other 65

Based on the above sample, predict the number of the people at the reception whose favorite snack will be chips or cookies. Round your answer to the nearest whole number. Do not round any intermediate calculations.
people

Transcript text: Mary is in charge of planning a reception for 3400 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. \begin{tabular}{|c|c|} \hline Favorite Snack & \begin{tabular}{c} Number of \\ People \end{tabular} \\ \hline Brownies & 31 \\ \hline Cookies & 20 \\ \hline Chips & 51 \\ \hline Other & 65 \\ \hline \end{tabular} Based on the above sample, predict the number of the people at the reception whose favorite snack will be chips or cookies. Round your answer to the nearest whole number. Do not round any intermediate calculations. $\square$ people 5xplanation Check

Solution

Solution Steps

Step 1: Calculate the Proportion of Sample Preferences

To find the proportion of people in the sample who prefer the specific snack (chips or cookies), we divide the number of people in the sample preferring that snack ($x = 71$) by the total sample size ($n = 167$). \[ \text{Proportion} = \frac{71}{167} = 0.425 \]

Step 2: Extrapolate to the Total Population

To predict the number of people at the event who will prefer chips or cookies, we multiply the proportion of sample preferences by the total number of event attendees ($N = 3400$). \[ \text{Predicted number} = 0.425 \times 3400 = 1445.509 \]

Rounding the Result

The predicted number of people preferring chips or cookies is rounded to 0 decimal places, resulting in 1446.