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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

62%
62%

31.5%
31.5%

31%
31%

30.5%
30.5%
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1 answer

To find the overall percentage of people who prefer cashew nuts based on the two samples, we first need to calculate the total number of people who prefer cashew nuts across both samples and then divide that by the total number of people surveyed.

From the table:

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

Calculating the total preference for cashew nuts: \[ \text{Total cashew preferences} = 63 + 61 = 124 \]

Next, we find the total number of people surveyed in both samples: \[ \text{Total people} = 200 + 200 = 400 \]

Now, we can calculate the percentage of people who prefer cashew nuts: \[ \text{Percentage} = \left( \frac{\text{Total cashew preferences}}{\text{Total people}} \right) \times 100 = \left( \frac{124}{400} \right) \times 100 \] \[ \text{Percentage} = 31% \]

So, the correct answer is 31%.