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Perform a test that the probability of success is p.
Note: `binom_test` is deprecated; it is recommended that `binomtest`
be used instead.
This is an exact, two-sided test of the null hypothesis
that the probability of success in a Bernoulli experiment
is `p`.
Parameters
----------
x : int or array_like
The number of successes, or if x has length 2, it is the
number of successes and the number of failures.
n : int
The number of trials. This is ignored if x gives both the
number of successes and failures.
p : float, optional
The hypothesized probability of success. ``0 <= p <= 1``. The
default value is ``p = 0.5``.
alternative : {'two-sided', 'greater', 'less'}, optional
Indicates the alternative hypothesis. The default value is
'two-sided'.
Returns
-------
p-value : float
The p-value of the hypothesis test.
References
----------
.. [1] https://en.wikipedia.org/wiki/Binomial_test
Examples
--------
>>> from scipy import stats
A car manufacturer claims that no more than 10% of their cars are unsafe.
15 cars are inspected for safety, 3 were found to be unsafe. Test the
manufacturer's claim:
>>> stats.binom_test(3, n=15, p=0.1, alternative='greater')
0.18406106910639114
The null hypothesis cannot be rejected at the 5% level of significance
because the returned p-value is greater than the critical value of 5%.
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