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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

30.5%
30.5%

31%
31%

31.5%
31.5%

62%
62%

1 answer

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

From the table:

  • Sample 1 has 63 people who prefer cashew nuts.
  • Sample 2 has 61 people who prefer cashew nuts.

Now, add these numbers together: 63 (Sample 1) + 61 (Sample 2) = 124 people

Now, we find the total number of people in both samples: 200 (Sample 1) + 200 (Sample 2) = 400 people

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

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