According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22. A r
esearcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level. What is the null hypothesis in this case? a. The proportion of smokers among U.S. adults 25 or older who have a bachelor's degree or higher is less than 0.22.
b. The proportion of smokers among U.S. adults 25 or older who have a bachelor's degree or higher is 0.22.
c. The proportion of smokers among U.S. adults 25 or older who have a bachelor's degree or higher is not 0.22.
d. There is no relationship between education level and smoking habits.
Answer: d. There is no relationship between education level and smoking habits.
Step-by-step explanation:
The null hypothesis is the affirmation that two parameters or phenomena do not have a relation between them.
Here the parameters are smoking and having a bachelor's degree or higher education.
Then the null hypothesis says that those two things do not have any relation, this would imply that the probability of being a smoker does not depend on having a degree or not.
Then the correct option is d "There is no relationship between education level and smoking habits."
b. The proportion of smokers among U.S. adults 25 or older who have a bachelor's degree or higher is 0.22.
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.
While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
Therefore, for the case above, the null hypothesis is that the proportion of smokers among U.S. adults 25 or older who have a bachelor's degree or higher is 0.22.
The probability of compound events combines at least two simple events, either the union of two simple events or the intersection of two simple events.
