Question

In 2016 a poll estimated that 3.2% of adults in a certain country are vegetarian. A nutritionist thinks this rate has changed. The nutritionist samples 300 adults from this country and finds that 16 are vegetarian

What is p, the sample proportion of vegetarians?

Answer 1

The sample proportion p of vegetarians is 5.33%, calculated by dividing the number of vegetarians (16) by the total sample size (300) and multiplying the result by 100.

Step-by-step explanation:

The sample proportion of vegetarians, denoted by p, is calculated by dividing the number of vegetarians in the sample by the total number of individuals in the sample. In this case, there are 16 vegetarians out of 300 adults surveyed. Therefore, the sample proportion p is calculated as follows:

p = Number of vegetarians / Total number of adults in the sample

p = 16 / 300

p = 0.0533 (repeating)

To express this as a percentage, we multiply by 100:

p (in percent) = 0.0533 × 100

p (in percent) = 5.33%

Thus, the sample proportion p of vegetarians in the nutritionist's sample is 5.33%.