The marital status distribution of the U.S. male population, ages 15 and older, is as follows: 35.4% never married, 53.6% married, 2.7% widowed, and 8.3% divorced/separated. A random sample of 300 U.S. young adult males, 18 to 24 years old, found 141 never married, 132 married, 3 widowed, and 24 divorced/separated. Using α = 0.10, is this evidence that males in this age group follow a different distribution than all males in the U.S.?
Write the hypotheses, calculate the expected counts, check the condition, calculate the test statistic, and use either the critical value approach or the p-value approach to make a conclusion about the question being asked.