Question

Carmen is in charge of planning a reception for a 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. based on the sample , predict the number of people at the reception whose favorite snack will be cake. Round your answer to the nearest whole number. Do not round any intermediate calculate.

Answer 1

We have a sample from the population about their favourite snack.

We can use it to estimate the number of people that will prefer cake.

We can start by calculating the proportion of people that prefer cake from the information of the sample:

`p=(x)/(n)=(27)/(27+20+70+63)=(20)/(180)=(1)/(9)`

where x: number of people from the sample that prefer cake, and n: sample size (number of people that participate in the sample).

Then, we can estimate the expected number of people that will prefer cake using the the total number of people that will assist (N=3200) and the proportion we have just calculated (p=1/9):

`Y=N\cdot p=3200\cdot(1)/(9)=(3200)/(9)\approx355.55\approx356`

Answer: it is expected that 356 people will have cake as favourite snack.