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

30.5%
30.5%

31.5%
31.5%

62%
62%

31%

1 answer

To find the overall 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 from both samples and then calculate the percentage out of the total number of people surveyed.

From the data provided:

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

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

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

The total number of people surveyed is the sum of both samples:

\[ \text{Total surveyed} = 200 + 200 = 400 \]

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

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

Calculating this gives:

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

Thus, the answer is:

31%