What is the purpose of calculating a test statistic?
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What is the purpose of calculating a test statistic?
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KamariApril 5, 2023 в 03:21
The purpose of calculating a test statistic is to determine whether an observed sample data is significantly different from what would be expected under a null hypothesis. In statistical hypothesis testing, a null hypothesis is a statement that assumes there is no significant difference between a population parameter and a given value or between two groups being compared.
To test this null hypothesis, we use a statistical test that compares the observed data to what we would expect to see if the null hypothesis is true. The test statistic is a numerical value calculated from the sample data that measures the strength of evidence against the null hypothesis.
If the test statistic is large enough, it suggests that the observed data is unlikely to have occurred by chance under the null hypothesis, and we reject the null hypothesis in favor of an alternative hypothesis. On the other hand, if the test statistic is small, it suggests that the observed data is not significantly different from what we would expect under the null hypothesis, and we fail to reject the null hypothesis.
In summary, the purpose of calculating a test statistic is to determine whether the observed sample data provides evidence against the null hypothesis, which is a fundamental step in statistical hypothesis testing.
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The purpose of calculating a test statistic is to determine whether an observed sample data is significantly different from what would be expected under a null hypothesis. In statistical hypothesis testing, a null hypothesis is a statement that assumes there is no significant difference between a population parameter and a given value or between two groups being compared.
To test this null hypothesis, we use a statistical test that compares the observed data to what we would expect to see if the null hypothesis is true. The test statistic is a numerical value calculated from the sample data that measures the strength of evidence against the null hypothesis.
If the test statistic is large enough, it suggests that the observed data is unlikely to have occurred by chance under the null hypothesis, and we reject the null hypothesis in favor of an alternative hypothesis. On the other hand, if the test statistic is small, it suggests that the observed data is not significantly different from what we would expect under the null hypothesis, and we fail to reject the null hypothesis.
In summary, the purpose of calculating a test statistic is to determine whether the observed sample data provides evidence against the null hypothesis, which is a fundamental step in statistical hypothesis testing.