A systematic procedure for deciding whether the results of a research study support a particular theory which applies to a population
The systematic procedure you are referring to is known as hypothesis testing
The systematic procedure you are referring to is known as hypothesis testing. It is a method used to make inferences about a population based on sample data, and to determine whether the results of a research study support a particular theory.
Hypothesis testing involves the following steps:
1. State the null hypothesis (H0): The null hypothesis represents the theory or statement that you want to test. It is typically a statement of no effect or no difference. For example, if you are testing whether a new medication is effective in curing a disease, the null hypothesis would state that the medication has no effect.
2. State the alternative hypothesis (Ha): The alternative hypothesis represents the theory or statement that you hope to support or show evidence for. It is typically the opposite of the null hypothesis. For example, the alternative hypothesis would state that the medication has a significant effect or is superior to the existing treatment.
3. Choose a significance level (α): The significance level represents the threshold at which you are willing to reject the null hypothesis. It is usually set to 0.05 (5%), but can vary depending on the context and the level of confidence desired.
4. Collect and analyze data: Conduct your research study and collect relevant data. Then, analyze the data using statistical techniques appropriate for your study design. This may involve calculating sample statistics, conducting regression analysis, or performing hypothesis tests using statistical tests like t-tests, chi-square tests, or ANOVA.
5. Calculate the test statistic: The test statistic is a numerical value calculated from the sample data that provides evidence against or in support of the null hypothesis. The calculation of the test statistic differs depending on the type of data and the hypothesis test being performed.
6. Determine the critical value(s): The critical value(s) represent the cutoff value(s) that define the rejection region. They are determined based on the chosen significance level and the appropriate statistical distribution. If the test statistic falls within the rejection region, the null hypothesis is rejected in favor of the alternative hypothesis.
7. Compare the test statistic with the critical value(s): If the test statistic falls in the rejection region, implying that it is unlikely to have occurred by chance alone, you reject the null hypothesis. Otherwise, if the test statistic falls outside the rejection region, you fail to reject the null hypothesis.
8. Draw conclusions and interpret the results: Based on the outcome of the hypothesis test, you can draw conclusions and interpret the results. If the null hypothesis is rejected, it provides evidence in favor of the alternative hypothesis. If the null hypothesis is not rejected, it does not necessarily mean that the null hypothesis is true; it simply means that there is not enough evidence to support the alternative hypothesis.
Hypothesis testing is a fundamental method in research and helps in providing objective and reliable scientific evidence to support or refute theories, providing a rigorous and systematic approach to decision-making based on data.
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