Mixed Hypothesis Test Review Worksheet
For each problem: set up Ho and Ha, calculate the p-value, draw the conclusion, and write it in a sentence.
You DO have to check to ensure that
conditions are met.
Studies conducted in the 1970s indicated that the average age at which children take their first alcoholic drink is 14.6 years old. Sociologists
believe that children are starting to drink at a younger age. A SRS of 144 young adults (18 years of age) is selected and the age at which each adult
took their first alcoholic drink is recorded. The sample mean age was 13.3 years of age. The population standard deviation is known to be 5 years.
A survey was conducted to determine whether there is a gender gap in the confidence people have in police, or whether the confidence levels are
independent of gender. The sample results are listed in the accompanying table (based on data
From the U.S. Department of Justice and the Gallup
Organization). Use a 0.05 level of significance to test
the claim that the confidence level in police is independent of gender.
What does the result suggest about a gender gap?