Question

A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 25.8% and 19.8%, respectively. (Suppose the number of respondents from each state was 2000.) At α=0.01, can you support the claim that the proportion of adults who are smokers is greater in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e) (a) ISently the claim and state H0​ and Ha​ The claim is the proportion of aduls who are smokers in state A is the propertion of adults who are smokers in state B." Let p1​ and p2​ be the two populaticn proportions. State H0​ and Ha​ - Choose the correct answer below (b) Find the entical value(s) and identify the rejection region(t) z0​= (USe a comma to separave answers as needed. Type an integer or a decimal. Round to two decimal places as needed)

Answer 1

The null hypothesis states that the true proportion of adults in a certain town suffering from a disease is equal to the percentage in the general adult American population. The alternative hypothesis states that the true proportion of adults in that town suffering from the disease is lower than the percentage in the general adult American population.

Step-by-step explanation:

The null and alternative hypotheses for this study can be formulated as follows:

Null hypothesis (H0): The true proportion of adults in that town suffering from the disease is equal to the percentage in the general adult American population (i.e., p = 0.095).

Alternative hypothesis (Ha): The true proportion of adults in that town suffering from the disease is lower than the percentage in the general adult American population (i.e., p < 0.095).