Question

A researcher wants to test if the rate of smoking among adults in Chicago is greater than the national rate of 18%. A random sample of 300 adults revealed 16% were current smokers.

Select the most conservative hypotheses.

a. H0: p=.16, Ha: p>.16

b. H0: p=.18, Ha: p?.18

c. H0: p?.18, Ha: p=.16

d. H0: p=.18, Ha: p<.18

Answer 1

the most conservative hypothesis is

H₀: p = 0.18, Hₐ: p > 0.18.

Explanation:

The researcher wants to test whether the rate of smoking among adults in Chicago is greater than the national rate of 18% or not.

The hypothesis for this test can be defined as follows:

Null Hypothesis (
`H_(o)`): The rate of smoking among adults in Chicago is same as the national rate, i.e. p = 0.18.

Alternate Hypothesis (
`H_(a)`): The rate of smoking among adults in Chicago is greater than the national rate, i.e. p > 0.18.

So the most conservative hypothesis is H₀: p = 0.18, Hₐ: p > 0.18.