It is generally believed that no more than 0.50 of all babies in a town in Texas are born out of wedlock. A politician claims that the proportion of babies born out of wedlock is increasing. Identify the correct null and alternative hypotheses to test the politician's claim. A) H₀: p = 0.50 and H_A: p ≠ 0.50 B) H₀: p ≤ 0.50 and H_A: p 0.50 C) H₀: p ≥ 0.50 and H_A: p 0.50 D) H₀: p ≥ 0.50 and H_A: p

Question

It is generally believed that no more than 0.50 of all babies in a town in Texas are born out of wedlock. A politician claims that the proportion of babies born out of wedlock is increasing. Identify the correct null and alternative hypotheses to test the politician's claim. A) H₀: p = 0.50 and H_A: p ≠ 0.50 B) H₀: p ≤ 0.50 and H_A: p > 0.50 C) H₀: p ≥ 0.50 and H_A: p > 0.50 D) H₀: p ≥ 0.50 and H_A: p < 0.50

Quizplus · Accepted Answer

The null hypothesis should reflect that the proportion of babies born out of wedlock is not increasing, so it should be set to ≤ 0.50. The alternative hypothesis should reflect that the proportion is increasing, so it should be set to > 0.50. Therefore, choice B is the correct one.

It Is Generally Believed That No More Than 0