Practice Proportion Tests (5.1) - Statistics - Mathematics III (PDE, Probability & Statistics)
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Proportion Tests

Practice - Proportion Tests

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for the single proportion test?

💡 Hint: Remember p is the sample proportion, and P is the population proportion.

Question 2 Easy

How do you calculate the pooled proportion?

💡 Hint: Combine the strengths of both samples!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary purpose of a single proportion test?

To compare two groups
To test if a sample proportion differs from a hypothesized proportion
To measure central tendency

💡 Hint: Think about how this test relates to claims made about a population.

Question 2

True or False: A higher Z value always means that the result is significant.

True
False

💡 Hint: Consider the context of significance testing!

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A medical trial reported a success proportion of 0.85 in a new treatment compared to a known treatment proportion of 0.70. If 120 participants in the trial were successful, test if the new treatment is significantly better.

💡 Hint: Ensure to check the assumptions of the test before grabbing your calculator.

Challenge 2 Hard

Two brands of light bulbs were tested to see which has a longer lifespan. Sample A reports 15 failures out of 100 bulbs while Sample B reports 5 failures out of 80. Can you determine if there's a significant difference in proportions of failures?

💡 Hint: Be sure to clearly lay out the calculations step-by-step!

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