Question

A market research firm reported that the mean annual earnings of all family practitioners in the United States was $180,612. A random sample of 56 family practitioners in New York that month had mean earnings of Xbar = $190,854 with a standard deviation of $41,847. You wish to test whether family practitioners in New York make more than the national average.

State the null and alternate hypotheses.

H₀: μ ≤ $180,612, H₁: μ > $180,612

H₀: μ = $190,854, H₁: μ ≠ $190,854

H₀: μ = $180,612, H₁: μ > $180,612

H₀: μ = $190,854, H₁: μ > $190,854

Answer 1

The null hypothesis is H₀: μ = $180,612, and the alternative hypothesis is H₁: μ > $180,612, indicating the test is for whether New York family practitioners earn more than the national average.

Step-by-step explanation:

The correct statement of the null hypothesis (H₀) and the alternative hypothesis (H₁) for testing whether family practitioners in New York make more than the national average is:

• H₀: μ = $180,612
• H₁: μ > $180,612

When setting up a hypothesis test, the null hypothesis (H₀) typically reflects the situation of no change or no effect. In this case, it asserts that family practitioners in New York make the same amount as the national average. The alternative hypothesis (H₁) reflects the claim we want to test, which is that New York practitioners make more than the national average.

The null hypothesis, denoted as H₀, is a statement of no effect or no difference. In this case, the null hypothesis is H₀: μ ≤ $180,612, which means that family practitioners in New York make the same or less than the national average earnings.

The alternative hypothesis, denoted as H₁, is the statement that is contradictory to the null hypothesis. In this case, the alternative hypothesis is H₁: μ > $180,612, which means that family practitioners in New York make more than the national average earnings.

The correct option is H₀: μ ≤ $180,612, H₁: μ > $180,612