Decide if each of the following three statements are ture or false Statement 1 p > 0.54 is an example of an alternative hypothesis expressed formally. Statement 2 x̄ = 175.9 is an example of a null hypothesis expressed formally. Statement 3 μ1 – μ2 > 0 is an example of a null hypothesis expressed formally.

Statement 1: True. An alternative hypothesis is typically denoted as H1 and is a statement that directly contradicts the null hypothesis. In this case, p > 0.54 is suggesting a specific direction of the effect, which is characteristic of an alternative hypothesis.

Statement 2: False. A null hypothesis is typically denoted as H0 and is a statement of no effect or no difference. It's usually expressed in terms of population parameters, such as μ (population mean) or p (population proportion), not in terms of sample statistics like x̄ (sample mean). So, x̄ = 175.9 is not a proper expression of a null hypothesis.

Statement 3: False. A null hypothesis is a statement of no effect or no difference. The statement μ1 – μ2 > 0 suggests a specific direction of the effect (i.e., μ1 is greater than μ2), which is characteristic of an alternative hypothesis, not a null hypothesis. A null hypothesis would be expressed as μ1 – μ2 = 0, indicating no difference between the two population means.