Challenge 3: Hypothesis Testing

The fascinating realm of statistics houses the intricate process of hypothesis testing. At its core, hypothesis testing is about making inferences regarding populations based on sample data. We formulate hypotheses and test them, drawing conclusions about broader datasets by analyzing a subset.

For instance, if you're studying the impact of a new teaching method in a classroom and observe a significant improvement in students' grades, can you conclusively say that the method is effective? The answer lies in hypothesis testing.

Here's the dataset we'll be using in this chapter. Feel free to dive in and explore it before tackling the task.


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import matplotlib.pyplot as plt
import seaborn as sns

# Load the dataset
data = sns.load_dataset('tips')

# Sample of data
display(data.head())

# Total bill amounts grouped by smoking status
sns.boxplot(x='smoker', y='total_bill', data=data)
plt.title('Total Bill Amounts Grouped by Smoking Status')
plt.show()

# Number of smokers vs. non-smokers by gender
sns.countplot(x='sex', hue='smoker', data=data)
plt.title('Number of Smokers vs. Non-Smokers by Gender')
plt.show()

Opgave

Swipe to start coding

In this exercise, leveraging the Seaborn's tips dataset, you'll:

Test if there's a significant difference in the total_bill amounts between smokers and non-smokers. Use Mann–Whitney U test.
Examine the relationship between the sex and smoker columns, determining if these two categorical variables are independent of each other.

Note

In this task, the significance level (alpha) for the p-value is set at 0.1, rather than the conventional 0.05. The choice of alpha can vary across tasks based on the context, the level of rigor required, or specific industry practices; commonly adopted values include 0.01, 0.05, and 0.1.

Løsning

Skift til skrivebord for at øve i den virkelige verdenFortsæt der, hvor du er, med en af nedenstående muligheder

Var alt klart?

Tak for dine kommentarer!

Sektion 6. Kapitel 3

Challenge 3: Hypothesis Testing

Here's the dataset we'll be using in this chapter. Feel free to dive in and explore it before tackling the task.


              123456789101112131415161718
            
import matplotlib.pyplot as plt
import seaborn as sns

# Load the dataset
data = sns.load_dataset('tips')

# Sample of data
display(data.head())

# Total bill amounts grouped by smoking status
sns.boxplot(x='smoker', y='total_bill', data=data)
plt.title('Total Bill Amounts Grouped by Smoking Status')
plt.show()

# Number of smokers vs. non-smokers by gender
sns.countplot(x='sex', hue='smoker', data=data)
plt.title('Number of Smokers vs. Non-Smokers by Gender')
plt.show()

Opgave

Swipe to start coding

In this exercise, leveraging the Seaborn's tips dataset, you'll:

Test if there's a significant difference in the total_bill amounts between smokers and non-smokers. Use Mann–Whitney U test.
Examine the relationship between the sex and smoker columns, determining if these two categorical variables are independent of each other.

Note

In this task, the significance level (alpha) for the p-value is set at 0.1, rather than the conventional 0.05. The choice of alpha can vary across tasks based on the context, the level of rigor required, or specific industry practices; commonly adopted values include 0.01, 0.05, and 0.1.

Løsning

Skift til skrivebord for at øve i den virkelige verdenFortsæt der, hvor du er, med en af nedenstående muligheder

Var alt klart?

Tak for dine kommentarer!

Sektion 6. Kapitel 3

Skift til skrivebord for at øve i den virkelige verdenFortsæt der, hvor du er, med en af nedenstående muligheder