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fiasKO [112]
3 years ago
10

A researcher wants to test if the rate of smoking among adults in Chicago is greater than the national rate of 18%. A random sam

ple 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
Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

the most conservative hypothesis is

<em>H₀</em>: <em>p</em> = 0.18, <em>Hₐ</em>: <em>p</em> > 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 (H_{o}): The rate of smoking among adults in Chicago is same as the national rate, i.e. <em>p</em> = 0.18.

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

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

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