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 62% 62% 31% 31% 30.5% 30.5% 31.5%

Answer 1

To find the percentage of people who prefer cashew nuts based on the two samples, we will first determine the total number of people who preferred cashew nuts in both samples combined and then calculate the percentage.

From the data:

• In Sample 1, 63 people preferred cashew nuts.
• In Sample 2, 61 people preferred cashew nuts.

Now, we add the number of people who preferred cashew nuts from both samples: \( 63 + 61 = 124 \) people preferred cashew nuts.

Next, we find the total number of people surveyed across both samples: Total number of people = Sample 1 + Sample 2 = 200 + 200 = 400.

Now, we calculate the percentage of people who preferred cashew nuts: \[ \text{Percentage} = \left( \frac{\text{Number of people who preferred cashew}}{\text{Total number of people}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{124}{400} \right) \times 100 = 31% \]

Thus, the percentage of people who prefer cashew nuts is 31%.