Question

The data from two random samples of 200 people regarding their favorite nuts is shown in the following table.

This table shows the quantity of different types of nuts in two samples, with a total of 200 nuts per sample.
Almond Pistachio Cashew Walnuts Total
Sample 1 40 62 63 35 200
Sample 2 43 64 61 32 200
Based on the two samples, what percentage of the people prefer cashew nuts?

(1 point)
Responses

31%
31%

31.5%
31.5%

30.5%
30.5%

62%

Answer 1

To find the percentage of people who prefer cashew nuts based on the two samples, we first need to calculate the total number of people who prefer cashew nuts across both samples.

From the data:
- In Sample 1, the number of people who prefer cashew nuts is 63.
- In Sample 2, the number of people who prefer cashew nuts is 61.

Now we can calculate the total for cashew nuts:

\[ \text{Total cashew preferences} = 63 + 61 = 124 \]

Since there are total 400 people (200 in each sample), we calculate the percentage as follows:

\[
\text{Percentage of people who prefer cashew nuts} = \left( \frac{124}{400} \right) \times 100
\]

\[
\text{Percentage} = 31\%
\]

So the answer is:

**31%**