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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

Respuesta :

Answer:

the most conservative hypothesis is

H₀: p = 0.18, Hₐ: p > 0.18.

Step-by-step 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 ([tex]H_{o}[/tex]): The rate of smoking among adults in Chicago is same as the national rate, i.e. p = 0.18.

Alternate Hypothesis ([tex]H_{a}[/tex]): 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.

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