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How to Conduct a One Sample T-Test in Python
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How to Conduct a One Sample T-Test in Python

Last Updated : 20 Feb, 2022
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In this article, we are going to see how to conduct a one sample T-Test in Python.

One Sample T-Test in Python

The one-sample t-test is a statistical hypothesis test that can be used to see if the mean of an unknown population differs from a given or known value. In this article let's learn how to perform a one-sample t-test.

null hypothesis: the mean of the areas is 5000.

alternative hypothesis: the mean of the areas is not  5000.

CSV Used:

Create a Dataframe for demonestration 

Python3
# import packages import scipy.stats as stats import pandas as pd  # loading the csv file data = pd.read_csv('areas.csv') data.head() 

Output:

Conduct a One Sample T-Test in Python

To perform one-sample t-test we will use the scipy.stats.ttest_1samp() function to perform one- sample t-test. The T-test is calculated for the mean of one set of values. The null hypothesis is that the expected mean of a sample of independent observations is equal to the specified population mean, popmean.

Syntax: scipy.stats.ttest_1samp(a, popmean, axis=0).

parameters:

  • a : an array or iterable object of sample observations.
  • popmean : expected mean in the null hypothesis.
  • axis : its an optional parameter. represents axis.

returns : t statistic and two tailed p value.

Python3
# import packages import scipy.stats as stats import pandas as pd  # loading the csv file data = pd.read_csv('areas.csv')  # perform one sample t-test t_statistic, p_value = stats.ttest_1samp(a=data, popmean=5000) print(t_statistic , p_value) 

Output:

[-0.79248301] [0.44346471]

Here

t_statistic is  -0.79248301

p-value is 0.44346471

As the p_value for the given problem is more than 0.05 which is the alpha value, we accept the null hypothesis and the alternative hypothesis is rejected.


Next Article
How to Conduct a One Sample T-Test in Python

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