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Given below are two statements Statement I: Power of a statistical test refers to its ability to reject the null hypothesis when it is incorrect Statement II: The value of standard deviation of a sample indicates its homogeneity/heterogeneity. In light of the above statements, choose the correct answer from the options given below

Given below are two statements Statement I: Power of a statistical test refers to its ability to reject the null hypothesis when it is incorrect Statement II: The value of standard deviation of a sample indicates its homogeneity/heterogeneity. In light of the above statements, choose the correct answer from the options given below Correct Answer Both Statement I and Statement II are true

The researcher makes inferences about the population from which the sample. 

Key PointsStatement I: The power of a statistical test refers to its ability to reject the null hypothesis when it is incorrect.

  • A formal way to select between two interpretations of a statistical relationship in a sample is null hypothesis testing.
  • The null hypothesis (H0) is one possibility.
  • This is the assumption that there is no relationship in the population and that the sample association reflects solely sampling error.
  • The likelihood of rejecting the null hypothesis when it is incorrect, or the probability of avoiding a type II mistake, is the power of a test.
  • The power of a study can also be conceived of as the possibility that it will identify a deviation from the null hypothesis if one exists.

Therefore, Statement I is true. 

Statement II: The value of the standard deviation of a sample indicates its homogeneity/heterogeneity.

  • The standard deviation is a measurement of a set of values dispersion or spread. 
  • In statistics, heterogeneity means that your populations, samples, or outcomes are all diverse.
  • It is the polar opposite of homogeneity, which implies that the population, data, and outcomes are identical.
  • the value of the standard deviation of a sample indicates its homogeneity/heterogeneity.

So, Statement II is true. 

Hence, Both Statement I and Statement II are true. 

Additional Information

  • Alternative hypothesis (H1): This is the assumption that there is a relationship in the population and that the sample relationship represents that relationship.

Related Questions

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