Question

he null and alternative hypotheses: For each pair of hypotheses that follows, decide whether H_0 and H_1 are set up correctly as the null and alternative hypotheses. If you have specific pairs of hypotheses to evaluate or questions about hypothesis testing, please specify.

Answer 1

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis states that there is no significant difference or relationship between variables, while the alternative hypothesis suggests that there is a significant difference or relationship. It is important to set up the null and alternative hypotheses correctly to ensure accurate hypothesis testing.

Step-by-step explanation:

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis is the statement being tested and usually states that there is no significant difference or relationship between variables. The alternative hypothesis, on the other hand, is the statement that contradicts the null hypothesis and suggests that there is a significant difference or relationship between variables.

It is important to set up the null and alternative hypotheses correctly to ensure accurate hypothesis testing. The null hypothesis always contains some form of equality (=, ≤, or ≥), while the alternative hypothesis negates the null hypothesis by using the opposite equality symbol.

For example, if we are testing whether a new medication is effective in reducing pain, the null hypothesis could be that the medication has no effect (H0: µ = 0), while the alternative hypothesis could be that the medication does have an effect (H1: µ ≠ 0).