Question
A researcher wants to know the proportion of people in a city who prefer a certain brand of coffee. The researcher selects a random sample of 500 people and asks them which brand of coffee they prefer. The results show that 220 people prefer the brand of interest. Assuming that the sample is representative of the population, what is the estimate of the sample proportion?
Option #1: 50
Option #2: 44
Option #3: 20
(1 point)
Option #
Option #1: 50
Option #2: 44
Option #3: 20
(1 point)
Option #
Answers
GPT-4o mini
To estimate the sample proportion, you can use the formula:
\[
\text{Sample Proportion} (p) = \frac{\text{Number of people who prefer the brand}}{\text{Total number of people in the sample}}
\]
In this case, 220 people prefer the brand, and the total sample size is 500.
So the sample proportion is:
\[
p = \frac{220}{500} = 0.44
\]
To express it in percentage terms, you can multiply by 100:
\[
p = 0.44 \times 100 = 44\%
\]
Thus, the correct answer is **Option #2: 44**.
\[
\text{Sample Proportion} (p) = \frac{\text{Number of people who prefer the brand}}{\text{Total number of people in the sample}}
\]
In this case, 220 people prefer the brand, and the total sample size is 500.
So the sample proportion is:
\[
p = \frac{220}{500} = 0.44
\]
To express it in percentage terms, you can multiply by 100:
\[
p = 0.44 \times 100 = 44\%
\]
Thus, the correct answer is **Option #2: 44**.