he data from two random samples of 200 people regarding their favorite nuts is shown in the following table.
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
31.5%
31.5%
30.5%
30.5%
31%
31%
62%
62%
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To find the percentage of people who prefer cashew nuts, we need to calculate the proportion of people in each sample who prefer cashew nuts and then take the average.
In sample 1, the proportion of people who prefer cashew nuts is 63/200 = 0.315.
In sample 2, the proportion of people who prefer cashew nuts is 61/200 = 0.305.
To find the average, we add the two proportions and divide by 2: (0.315 + 0.305) / 2 = 0.31.
Therefore, the percentage of people who prefer cashew nuts is 31%.