The correct null and alternative hypotheses for testing whether family practitioners in New York make more than the national average are:
H0: μ ≤ $180,612
H1: μ > $180,612
H0 (null hypothesis) typically represents the status quo or the assumption that there is no effect or no difference. In this case, it assumes that the mean annual earnings of family practitioners in New York is less than or equal to the national average of $180,612.
H1 (alternative hypothesis) represents the opposite or the claim you want to test. In this case, it asserts that the mean annual earnings of family practitioners in New York is greater than $180,612.
So, option C is the correct statement of the null and alternate hypotheses:
H0: μ = $180,612
H1: μ > $180,612
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