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According to a​ publication, 13.9​% of 18 to 25-year-olds were users of marijuana in 2000. A recent poll of 1366 randomly selected 18 to 25-year-olds revealed that 221 currently use marijuana. At the 1​% significance​ level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of 13.9​%? Use the​ one-proportion z-test to perform the appropriate hypothesis​ test, after checking the conditions for the procedure. What are the hypotheses for the​ one-proportion z-test?   H0​: p=nothing​; Ha​: p ▼   greater than> less than< not equals≠ nothing ​(Type integers or​ decimals.) What is the test​ statistic?   z=nothing ​(Round to two decimal places as​ needed.) Identify the​ P-value.   The​ P-value is nothing. ​(Round to four decimal places as​ needed.) What is the correct conclusion for the hypothesis​ test?     A. Do not reject H0​; the data do provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9​%.   B. Reject H0​; the data do provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9​%.   C. Reject H0​; the data do not provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9​%.   D. Do not reject H0​; the data do not provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9​%.

- November 14, 2022 - Edwin Tunner

According to a​ publication,

13.9​% of 18 to 25-year-olds were users of marijuana in 2000. A recent poll of 1366 randomly selected 18 to 25-year-olds revealed that 221 currently use marijuana. At the 1​% significance​ level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of
13.9​%?

Use the​ one-proportion z-test to perform the appropriate hypothesis​ test, after checking the conditions for the procedure.

What are the hypotheses for the​ one-proportion z-test?
 
H0​:
p=nothing​;
Ha​:
p

▼

 

greater than>
less than<
not equals≠

nothing

​(Type integers or​ decimals.)
What is the test​ statistic?
 
z=nothing

​(Round to two decimal places as​ needed.)

Identify the​ P-value.
 
The​ P-value is

nothing.
​(Round to four decimal places as​ needed.)
What is the correct conclusion for the hypothesis​ test?
 
 

A.

Do not reject
H0​;

the data

do

provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from

13.9​%.
 

B.

Reject
H0​;

the data

do

provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from

13.9​%.
 

C.

Reject
H0​;

the data

do not

provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from

13.9​%.
 

D.

Do not reject
H0​;

the data

do not

provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from

13.9​%.
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