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%

62%
62%

30.5%
30.5%

31.5%

Answer 1

To calculate the percentage of people who prefer cashew nuts based on the two samples, we first need to find the total number of people who prefer cashew nuts from both samples and then divide by the total number of people surveyed.

From the table:
- Sample 1: 63 people prefer cashew nuts
- Sample 2: 61 people prefer cashew nuts

Total number of people who prefer cashew nuts = 63 + 61 = 124

Total number of people surveyed = 200 (Sample 1) + 200 (Sample 2) = 400

Now, to find the percentage of people who prefer cashew nuts:

\[
\text{Percentage} = \left( \frac{\text{Number of people who prefer cashews}}{\text{Total number of people surveyed}} \right) \times 100
\]

\[
\text{Percentage} = \left( \frac{124}{400} \right) \times 100 = 31\%
\]

Thus, the percentage of people who prefer cashew nuts is **31%**.