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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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!

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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!

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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!

Challenge and get performance evaluation