# Simple hypothesis testing

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### Problem

Alena has a pair of dogs, and she noticed they usually breed more male puppies than females. To check that, she bred them again and obtained 15 puppies, and 13 of them were males.
Let's test the hypothesis that each puppy has an equal chance of 50, percent of being either male or female versus the alternative that the chance of a male puppy is greater.
The table below sums up the results of 1000 simulations, each simulating 15 puppies with a 50, percent chance of being male or female.
According to the simulations, what is the probability of having 13 male puppies or more out of 15?
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Let's agree that if the observed outcome has a probability less than 1, percent under the tested hypothesis, we will reject the hypothesis.
What should we conclude regarding the hypothesis?
$\#$ of male puppies out of 15Frequency
00
10
23
314
442
592
6153
7196
8196
9153
1092
1142
1214
133
140
150
Do 4 problems