Question

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%

30.5%
30.5%

31%
31%

31.5%
31.5%
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1 answer

To find the percentage of people who prefer cashew nuts based on the two samples, we need to combine the 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 table:

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

Now, add these two amounts together: \[ 63 + 61 = 124 \]

The total number of people in both samples combined is: \[ 200 + 200 = 400 \]

Now, we can calculate the percentage of people preferring cashew nuts: \[ \text{Percentage} = \left( \frac{124}{400} \right) \times 100 \] \[ \text{Percentage} = 0.31 \times 100 = 31% \]

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