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

Question

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

31.5%
31.5%

31%
31%

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 determine the total number of people who prefer cashew nuts across both samples and then calculate the percentage.

From the provided data:

• Sample 1: 63 people prefer cashew nuts
• Sample 2: 61 people prefer cashew nuts

Now we can calculate the total preference for cashew nuts:

\[ Total\ cashew\ preference = Sample\ 1\ preference + Sample\ 2\ preference = 63 + 61 = 124 \]

Next, we find the total number of people surveyed across both samples:

\[ Total\ people = Sample\ 1 + Sample\ 2 = 200 + 200 = 400 \]

Now, we calculate the percentage of people who prefer cashew nuts:

\[ Percentage\ of\ cashew\ preference = \left( \frac{Total\ cashew\ preference}{Total\ people} \right) \times 100 = \left( \frac{124}{400} \right) \times 100 \]

\[ Percentage\ of\ cashew\ preference = 0.31 \times 100 = 31% \]

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