3. Use the following information to answer question. A researcher is wondering whether the

smoking habits of young adults (18-25 years of age) in a certain city in the U.S. are the same as

the proportion of the general population of young adults in the U.S. A recent study stated that

the proportion of young adults who reported smoking at least twice a week or more in the last

month was 0.16. The researcher collected data from a random sample of 75 adults in the city of

interest, and 21 of the adults in this sample reported that they have smoked at least twice a

week or more in the last month. Use an

level of significance.

=

0.05

Follow and answer the following accordingly.

a.

Set-up the null and alternative hypotheses. Write in correct notation. Specify if left-tailed,

right-tailed or two-tailed test.

b. Specify the significance level . Sketch your critical or rejection region.

c.

Gather your evidence. Specify the information derived from the sample.

d. Compute the appropriate test statistic.

e. Compute the critical value (classical approach)

f.

Compute the p-value (p-value approach)

g.

Decision criterion: Based on (e) or (f), specify your decision if reject or do not reject the null

hypothesis.

h. Write your conclusion. Make sure that it must be in the right context as indicated in the

problem.