The data from two random samples of 200 people regarding their favorite nuts is shown in the following table
Almond. Pistachio cashew walnuts total
40. 62. 63. 35. 200
43. 64. 61. 32. 200
Based on the two samples , what percentage of the people prefer cashew nuts
In the first sample, 63 out of 200 people prefer cashew nuts. This is equivalent to 63/200 = 0.315 or 31.5%.
In the second sample, 61 out of 200 people prefer cashew nuts. This is equivalent to 61/200 = 0.305 or 30.5%.
To find the overall percentage of people who prefer cashew nuts based on both samples, we can add the number of people who prefer cashew nuts in both samples and divide by the total number of people in both samples.
63 (from the first sample) + 61 (from the second sample) = 124 people who prefer cashew nuts in total.
200 (total from the first sample) + 200 (total from the second sample) = 400 people in total.
Therefore, the percentage of people who prefer cashew nuts based on both samples is 124/400 = 0.31 or 31%.