Question

the plush zoo store sells stuffed animals. the store is running a special on teddy bears this month. on a certain day, the store had 670 stuffed animals, and 130 of those stuffed animals were teddy bears. on that day, the shopkeeper took a sample of 27 stuffed animals in the store. she found that 9 of those stuffed animals were teddy bears. for the shopkeepers sample, find and write with proper notation the sample proportion and population proportion of stuffed animals that were teddy bears. write the proportions as decimals (not percentages) rounded to two decimal places.
(a) sample proportion: select (vee) = (square)
(b) population proportion: select (vee) = (square)

Explanation:

Step1: Calculate sample proportion

The sample proportion $\hat{p}$ is the number of teddy - bears in the sample divided by the sample size. The sample size $n = 27$ and the number of teddy - bears in the sample $x = 9$. So, $\hat{p}=\frac{x}{n}=\frac{9}{27}= 0.33$.

Step2: Calculate population proportion

The population proportion $p$ is the number of teddy - bears in the population divided by the population size. The population size $N = 670$ and the number of teddy - bears in the population $X = 130$. So, $p=\frac{X}{N}=\frac{130}{670}\approx0.19$.

Answer:

(a) $\hat{p}=0.33$
(b) $p = 0.19$