Roy’s Toys Company received a huge shipment of rubber duckies from a factory. The factory guaranteed Roy that the percentage of defective toys won’t exceed $1.5\%$, but Roy suspects it does. He took a random sample of $200$ duckies, and found that $3\%$ of them were defective.
Let's test the hypothesis that **the actual percentage of defective duckies is $1.5\%$** versus the alternative that the actual percentage is *higher* than that.
The table below sums up the results of $1000$ simulations, each simulating a sample of $200$ duckies, assuming there are $1.5\%$ defective duckies.
**According to the simulations, what is the probability of getting a sample with $3\%$ defective duckies or more?**
$\qquad$[[☃ input-number 1]]
Let's agree that if the observed outcome has a probability *less* than $1\%$ under the tested hypothesis, we will reject the hypothesis.
**What should we conclude regarding the hypothesis?**
[[☃ radio 1]]
Measured $\%$ of defective duckies| Frequency
:-: | :-:
$0$ | $54$
$0.5$ | $132$
$1$ | $225$
$1.5$ | $241$
$2$ | $162$
$2.5$ | $108$
$3$ | $50$
$3.5$ | $21$
$4$ | $4$
$4.5$ | $3$