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

30.5%
30.5%

31.5%
31.5%

31%
31%

62%

Answer 1

To find the overall percentage of people who prefer cashew nuts from the two samples, we need to calculate the total number of people who prefer cashew nuts from both samples and divide that by the total number of people surveyed (which is 400, since there are 200 people in each sample).

From the data:

• In Sample 1, the number of people preferring cashew nuts = 63
• In Sample 2, the number of people preferring cashew nuts = 61

Total people preferring cashew nuts = 63 + 61 = 124

Now, we calculate the percentage:

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

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