Answered: An organization published an article…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

12. An organization published an article stating that in any one-year period, approximately 7.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.

a) Find the p-value. (Round your answer to four decimal places.)

b) At a pre-conceived ? = 0.05, what are your following?

Multiple Choice

(i) Decision:

a. Do not reject the null hypothesis.

b. Do not reject the alternative hypothesis.

c. Reject the null hypothesis

d. Reject the alternative hypothesis.

(ii) Reason for the decision:

a. p-value > ?

b. p-value > ?/2

c. p-value = ?/2

d. p-value = ?

e. p-value < ?

(iii) Conclusion:

a. At the 5% level of significance, there is insufficient evidence to conclude that the proportion of people in the town with depression or depressive illness is lower than 0.925.

b. At the 5% level of significance, there is sufficient evidence to conclude that the proportion of people in the town with depression or depressive illness is equal to 0.075.

c. At the 5% level of significance, there is sufficient evidence to conclude that the proportion of people in the town with depression or depressive illness is higher than 0.075.

d. At the 5% level of significance, there is insufficient evidence to conclude that the proportion of people in the town with depression or depressive illness is lower than 0.075.

e. At the 5% level of significance, there is insufficient evidence to conclude that the proportion of people in the town with depression or depressive illness is higher than 0.925.

Expert Solution