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Hypothesis testing in experiments
Hypothesis-testing-in-experiments 256
Description
Exercise Name: Hypothesis testing in experiments
Math Missions: High school statistics and probability Math Mission
Types of Problems: 1

The Hypothesis testing in experiments exercise appears under the High school statistics and probability Math Mission. This exercise introduces the idea of inferential statistics and determining whether a certain hypothesis is statistically reasonable.

Types of Problems

There is one type of problem in this exercise:

  1. See if result is significant: This problem describes the results from a particular sample. It then goes on to show the results of a number of simulations in a dot plot. The student is asked whether the initial result is statistically significant based on the results of the simulations.
    Hyptest1

    See if result is significant

Strategies

This exercise is medium to get accuracy badges because the idea of hypothesis testing takes some getting used to if user has not done it before. However, once they understand the speed badges are easy because they can be done quickly.

  1. A result is significant if not too many of the simulations so a similar result or one that is more extreme.
  2. Find the result from the initial experiment and only read the number, and the comparison (greater or smaller). Then look at the dot plot. If less than 5% of the dots are that extreme or more extreme the result is significant.
  3. 5% of 150 is 7.5 and 5% of 100 is 5.

Real-life Applications

  1. A hypothesis is an educated guess or proposition that attempts to explain a set of facts or natural phenomenon. It is used mostly in the field of science, where the scientific method is used to test it.
  2. Data and statistics appear in news reports and in the media every day.
  3. Many of the problems in this exercise could be viewed as real-life applications.
  4. Statistics can be seen more frequently than calculus in every day life.

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