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%

62%
62%

31%
31%

30.5%

:)

Answer 1

To find 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 combined.

From the table:

• In Sample 1, 63 people prefer cashew nuts.
• In Sample 2, 61 people prefer cashew nuts.

Now, we can add these together:

63 (Sample 1) + 61 (Sample 2) = 124 people prefer cashew nuts.

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

200 (Sample 1) + 200 (Sample 2) = 400 people.

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

\[ \frac{124}{400} \times 100 = 31% \]

So, the percentage of people who prefer cashew nuts from the two samples combined is 31%.

The correct response is: 31%