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How to Write a Hypothesis for Estimation on Single Samples

Statistics provide researchers with the tools to determine whether a single sample accurately reflects the total population to which it belongs. By testing the ability of a sample to estimate the characteristics of the larger population, researchers can state confidently whether their findings during their study of the single sample also applies to the total population. Researchers test the ability to estimate from single samples by testing two competing hypotheses.

Instructions

- 1
  Write the test hypothesis. Describe the conditions required for the single sample to provide an accurate estimate of the facet of the population you are examining. Express the test hypothesis as H1.
- 2
  Write the null hypothesis. Provide the opposite of the test hypothesis. For example, if the test hypothesis is that the average height of the sample equals the average height of the population then the null hypothesis would be that the average height of the sample is not equal to the average height of the population. Describe the null hypothesis as H0.
- 3
  Indicate the test statistic. Write what variable you will test to decide whether to reject the null or test hypothesis.

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