06 Probability of sample proportions example#

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import numpy as np
import pandas as pd
from pandas import Series, DataFrame
import matplotlib.pyplot as plt
import seaborn as sns
from scipy import stats, special

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Probability of sample proportions example fig 1Probability of sample proportions example fig 2

n = 160
p = 0.15
mu = p
sigma = np.sqrt(p*(1-p)/n)

1 - stats.norm.cdf(0.10, loc=mu, scale=sigma) # why?

0.9617387497624703