Ideally, the hypothesis-testing procedure leads to the acceptance of H 0 when H 0 is true and the rejection of H 0 when H 0 is false. What is considered “close” and “not close” is determined by using the sampling distribution of x̄. Conceptually, a value of the sample mean that is “close” to 30 is consistent with the null hypothesis, while a value of the sample mean that is “not close” to 30 provides support for the alternative hypothesis. Based on a sample of individuals from the listening audience, the sample mean age, x̄, can be computed and used to determine whether there is sufficient statistical evidence to reject H 0. To determine whether this assumption is valid, a hypothesis test could be conducted with the null hypothesis given as H 0: μ = 30 and the alternative hypothesis given as H a: μ ≠ 30. If H 0 is rejected, the statistical conclusion is that the alternative hypothesis H a is true.įor example, assume that a radio station selects the music it plays based on the assumption that the average age of its listening audience is 30 years. The hypothesis-testing procedure involves using sample data to determine whether or not H 0 can be rejected. An alternative hypothesis (denoted H a), which is the opposite of what is stated in the null hypothesis, is then defined. This assumption is called the null hypothesis and is denoted by H 0. First, a tentative assumption is made about the parameter or distribution. Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or a population probability distribution. SpaceNext50 Britannica presents SpaceNext50, From the race to the Moon to space stewardship, we explore a wide range of subjects that feed our curiosity about space!.Learn about the major environmental problems facing our planet and what can be done about them! Saving Earth Britannica Presents Earth’s To-Do List for the 21st Century.Britannica Beyond We’ve created a new place where questions are at the center of learning.100 Women Britannica celebrates the centennial of the Nineteenth Amendment, highlighting suffragists and history-making politicians.
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