The data from two random samples of 200 people regarding their favorite nuts is shown in the following table.
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Sample 1
Sample 2
Almond Pistachio Cashew Walnuts Total
40
43
62
64
63
61
35
32
200
200
Based on the two samples, what percentage of the people prefer cashew nuts?
(1 point)
• 31.5%
• 62%
• 30.5%
• 31%
In Sample 1, 62 out of 200 people prefer cashew nuts.
In Sample 2, 64 out of 200 people prefer cashew nuts.
Therefore, the total number of people who prefer cashew nuts in both samples is 62 + 64 = 126.
The total number of people in both samples is 200 + 200 = 400.
To calculate the percentage of people who prefer cashew nuts:
(126/400) x 100% = 31.5%
Therefore, 31.5% of the people prefer cashew nuts based on the two samples.
Therefore, the correct answer is:
• 31.5%