What is the correct statement of null and alternative hypothesis? A)H₀: p .18 C)H₀: p = .18 and H_A: p ≥ .18 D)H₀: p .18 and H_A: p ≤ .18 E)H₀: p ≤ .20 and H_A: p .20

Question

What is the correct statement of null and alternative hypothesis? A)H₀: p < .18 and H_A: p ≥ .18 B)H₀: p ≤ .18 and H_A: p > .18 C)H₀: p = .18 and H_A: p ≥ .18 D)H₀: p > .18 and H_A: p ≤ .18 E)H₀: p ≤ .20 and H_A: p > .20

Quizplus · Accepted Answer

The null hypothesis is the statement H₀: p ≤ .18, which assumes that the proportion of a certain characteristic is less than or equal to .18. The alternative hypothesis is the statement H_A: p > .18, which assumes that the proportion of the characteristic is greater than .18. This corresponds to a one-tailed test, where we are only interested in deviations in one direction (greater than). Choice B correctly represents these hypotheses.

What Is the Correct Statement of Null and Alternative Hypothesis