Practical -6 2 tests for goodness of fit using Python 1. For the arrival of the patients at a doctor’s clinic has obtained the following distribution for 445 days. Fit a Binomial distribution for the following data and test for its goodness of fit. No. Of patients

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Practical -6
2 tests for goodness of fit using Python
1. For the arrival of the patients at a doctor’s clinic has obtained the following distribution for 445 days. Fit a Binomial distribution for the following data and test for its goodness of fit.
No. Of patients
0
1
2
3
4
5
6
No. Of days
153
169
72
31
12
6
2
import pandas as pd
import numpy as np
from scipy.stats import binom
import scipy.stats as stats
table = pd.read_excel("C:/Users/Naveen/OneDrive/Desktop/Binomial_distribution.xlsx")
table
x = table[' No. Of patients ']
x
f = table[‘No. Of days’]
f
n= max(x)
fx =f*x
m = sum(fx)/sum(f)
p = m/n
px = binom.pmf(x, n, p)
px1 = np.round(px,4)
px1
ef =sum(f)*px
ef
ef1 = np.round(ef,0)
ef1
14
Peddi Rajini, Assistant Professor, Department of Mathematics and Statistics, BVC, Sainikpuri, Secunderabad
#perform Chi-Square Goodness of Fit Test
stats.chisquare(f_obs=f, f_exp=ef1)
if pval <0.05:
print("reject null hypothesis")
else:
print("accept null hypothesis")
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