Ex plain one tailed test and two tailed test with an example each

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1 month ago

A one-tailed test and a two-tailed test are statistical hypothesis tests used to determine whether there is a significant difference or relationship between two groups or variables.

One-tailed test:
A one-tailed test is used when the researcher is only interested in determining if there is a significant difference in one direction. For example, if a researcher wants to test if a new drug increases test scores, they would use a one-tailed test to determine if the drug specifically increases test scores and not decreases them.

Example: A researcher wants to test if a new weight loss program results in a decrease in average weight. The null hypothesis is that the weight loss program has no effect on weight, while the alternative hypothesis is that the weight loss program results in a decrease in weight. The researcher would conduct a one-tailed test to determine if the weight loss program specifically leads to a decrease in weight.

Two-tailed test:
A two-tailed test is used when the researcher is interested in determining if there is a significant difference in either direction. For example, if a researcher wants to test if a new marketing campaign has an effect on sales, they would use a two-tailed test to determine if the campaign results in either an increase or a decrease in sales.

Example: A researcher wants to test if a new teaching method leads to a change in test scores. The null hypothesis is that the teaching method has no effect on test scores, while the alternative hypothesis is that the teaching method leads to a change in test scores. The researcher would conduct a two-tailed test to determine if the teaching method results in either an increase or a decrease in test scores.

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