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

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

Alternate Hypothesis (): 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.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the k side

step-by-step explanation:

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