Question

Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is​ performed, how should you interpret a decision that​ (a) rejects the null hypothesis or​ (b) fails to reject the null​ hypothesis? A scientist claims that the mean incubation period for the eggs of a species of bird is at most at most 56 56 days. Does the claim represent the null hypothesis or the alternative​ hypothesis? Since the claim ▼ a statement of​ equality, it represents the ▼ alternative null hypothesis. ​(a) How should you interpret a decision that rejects the null​ hypothesis? There is ▼ insufficient sufficient evidence to ▼ reject support the claim that the mean incubation period for the eggs of a species of bird is at most at most 56 56 days. ​(b) How should you interpret a decision that fails to reject the null​ hypothesis? There is ▼ insufficient sufficient   evidence to ▼ support reject the claim that the mean incubation period for the eggs of a species of bird is at most at most 56 56 days.

Answer 1

As given in the question, the scientist claims that: The mean incubation period for the eggs of a species of bird is at most 56 days. The above claim represents the null hypothesis because it contains a sign of equality (= S>). The null and the alternative hypothesis are given by: H: 556 H: ” > 56 (Right-tailed test.) Here, represents the mean incubation period for the eggs. (a) Interpretation of the decision that rejects the null hypothesis: “There is insufficient evidence to support the claim that the mean incubation period for the eggs of a species of bird is at most 56 days." Interpretation of the decision that fails to reject the null hypothesis: “There is sufficient evidence to support the claim that the mean incubation period for the eggs of a species of bird is at most 56 days."