The data from two random samples of 200 people regarding their favorite nuts is shown in the following table.
Sample 1 : 40 almonds | 62 pistachio | 63 Cashew | 35 Walnuts | 200 total
Sample 2 : 43 Almonds | 64 pistachio | 61 Cashew | 32 Walnuts | 200 total
Based on the two samples, what percentage of the people prefer cashew nuts?
• 31.5%
• 62%
• 30.5%
• 31%
The number of people who prefer cashew nuts in Sample 1 is 63, and in Sample 2 is 61.
The total number of people in both samples who prefer cashew nuts is 63 + 61 = 124.
The total number of people in both samples is 200 + 200 = 400.
To find the percentage, we divide the number of people who prefer cashew nuts (124) by the total number of people (400) and multiply by 100.
(124/400) * 100 = 31%
Therefore, the percentage of people who prefer cashew nuts based on the two samples is 31%.
The correct answer is: 31%