Question

the plush zoo store sells stuffed animals. the store is running a special on teddy bears this month. on a certain day, 2 out of every 11 stuffed animals in the store were teddy bears. that day, the shopkeeper took a sample of stuffed animals in the store. she found that 20 of the 59 stuffed animals that she sampled were teddy bears.
for the shopkeepers sample, find and write with proper notation the population proportion and sample proportion of stuffed animals that were teddy bears. write the proportions as decimals (not percentages) rounded to two decimal places.
(a) population proportion: select =
(b) sample proportion: select =

Explanation:

Step1: Calculate population proportion

Population proportion \(p\) is the proportion of teddy - bears in the entire store. Given that 2 out of every 11 stuffed animals in the store were teddy - bears.

$$p=\frac{2}{11}\approx0.18$$

Step2: Calculate sample proportion

Sample proportion \(\hat{p}\) is the proportion of teddy - bears in the sample. Given that 20 out of 59 stuffed animals in the sample were teddy - bears.

$$\hat{p}=\frac{20}{59}\approx0.34$$

Answer:

(a) Population proportion: \(p = 0.18\)
(b) Sample proportion: \(\hat{p}=0.34\)