The Chi-Squared test is commonly used to test hypotheses about the distribution of categorical data. We’ll show how to perform a Chi-Squared test in Python using the SciPy library.
Chi-square calculations
We’ll demonstrate how to conduct a chi-squared test for a given set of observed frequencies using the SciPy library. We’ll calculate the chi-squared test using the SciPy library, as it provides the built-in chisquare function for this purpose.
The chisquare function returns a p-value. Setting a significance level of 5% helps us determine if the observed deviations from expected frequencies are statistically significant.
from scipy import stats
numbers = [45, 67, 33, 54, 33]
chi = stats.chisquare(numbers)
print(f"pvalue equals {round(chi.pvalue, 4)}")
if chi.pvalue < 0.05:
print("Hypothesis can be rejected")
else:
print("Hypothesis is valid")
We compare the p-value against a significance level of 0.05. If the p-value is less than 0.05, the null hypothesis can be rejected, meaning the deviations are statistically significant.
This indicates that the deviations between the observed frequencies are statistically significant, allowing us to reject the null hypothesis.