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
30.5%
30.5%
31%
31%
31.5%
31.5%
62%
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
30.5%
30.5%
31%
31%
31.5%
31.5%
62%
Answers
GPT-4o mini
To find the percentage of people who prefer cashew nuts based on the two samples, you'll need to calculate the total number of people who prefer cashew nuts from both samples and then divide that by the total number of people surveyed (which is 400, as each sample consists of 200 people) and multiply by 100 to get a percentage.
From the table:
- Sample 1: 63 people prefer cashew nuts.
- Sample 2: 61 people prefer cashew nuts.
Total number of people who prefer cashew nuts = 63 + 61 = 124.
Total number of people surveyed = 200 (Sample 1) + 200 (Sample 2) = 400.
Now, calculate the percentage:
\[
\text{Percentage of cashew nuts preference} = \left( \frac{124}{400} \right) \times 100 = 31\%
\]
Thus, the answer is **31%**.
From the table:
- Sample 1: 63 people prefer cashew nuts.
- Sample 2: 61 people prefer cashew nuts.
Total number of people who prefer cashew nuts = 63 + 61 = 124.
Total number of people surveyed = 200 (Sample 1) + 200 (Sample 2) = 400.
Now, calculate the percentage:
\[
\text{Percentage of cashew nuts preference} = \left( \frac{124}{400} \right) \times 100 = 31\%
\]
Thus, the answer is **31%**.