MHB Null hypothesis and alternate hypotheses

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SUMMARY

The discussion centers on formulating the null hypothesis (H0) and the alternate hypothesis (H1) regarding the variation in test scores between two seventh-grade classes. The principal claims that the variation in test scores at her school is less than that of a neighboring school, which has a standard deviation (σ) of 14.7. The null hypothesis is expressed as H0: σ² ≤ 14.7², while the alternate hypothesis is H1: σ² > 14.7². This framework sets the stage for hypothesis testing based on the principal's claim.

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  • Understanding of hypothesis testing principles
  • Knowledge of statistical symbols and notation
  • Familiarity with standard deviation and variance concepts
  • Basic skills in formulating statistical hypotheses
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  • Learn about the significance of null and alternate hypotheses
  • Explore the implications of standard deviation in statistical analysis
  • Investigate methods for conducting hypothesis tests using software tools like R or Python
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express the null hypothesis and the alternate hypothesis in symbolic form. use the correct symbol for the indicated parameter :

the principal of a middle school claims that test scores of the seventh-grade at her school vary less than the test scores of seventh- graders at the neighboring school, which has a variation described by o(standard deviation ) = 14.7explain your answer
 
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rainbow said:
express the null hypothesis and the alternate hypothesis in symbolic form. use the correct symbol for the indicated parameter :

the principal of a middle school claims that test scores of the seventh-grade at her school vary less than the test scores of seventh- graders at the neighboring school, which has a variation described by o(standard deviation ) = 14.7explain your answer

Hi rainbow,

So with hypothesis testing we usually aim for an argument from contradiction, which means we assume the thing we want to disprove as a starting point. What is the claim that we want to disprove? This would be the null hypothesis.
 

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