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

62%
62%

30.5%
30.5%

31.5%
31.5%

31%

Answer 1

To calculate the percentage of people who prefer cashew nuts from the two samples, we need to find the total preference for cashew nuts across both samples and then divide that by the total number of participants from both samples.

Sample 1:

• Cashew nuts: 63

Sample 2:

• Cashew nuts: 61

Total preference for cashew nuts = 63 + 61 = 124

Total number of people from both samples = 200 (Sample 1) + 200 (Sample 2) = 400

Now, we calculate the percentage:

\[ \text{Percentage of cashew nuts preference} = \left( \frac{\text{Total cashew preferences}}{\text{Total people}} \right) \times 100 \]

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

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

The correct response is: 31%.