Question

Xylem Park hosts many expos to teach the public about plants. Last year’s desert plant expo featured cacti. At the desert plant expo, 35 out of every 51 plants were cacti. At that expo, the organizer took a sample of the plants. He found that 52 of the 82 plants in his sample were cacti.

For the organizer's sample, find and write with a proper notation the sample proportion and population proportion of plants that were cacti. Write the proportions as decimals (not percentages) rounded to two decimal places.

Sample proportion: ▼(Choose one)
=

Population proportion: ▼(Choose one)
=

Answer 1

To find the sample proportion, divide the number of cacti plants in the sample by the total number of plants in the sample. To find the population proportion, divide the number of cacti plants in the entire population by the total number of plants in the entire population.

Step-by-step explanation:

To find the sample proportion of plants that were cacti in the organizer's sample, divide the number of cacti plants in the sample by the total number of plants in the sample:

Sample Proportion = Number of Cacti Plants / Total Number of Plants in Sample

Sample Proportion = 52 / 82 = 0.63 (rounded to two decimal places).

To find the population proportion of plants that were cacti, divide the number of cacti plants in the entire population by the total number of plants in the entire population:

Population Proportion = Number of Cacti Plants in Population / Total Number of Plants in Population

Population Proportion = 35 / 51 = 0.69 (rounded to two decimal places).