Set up a hypothesis test so that the rejection of H, will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for * as needed.) p=0.004 Ho: p=0.006

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question

Just need help with (b)

Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000
people in the United States, VeganBits found 60 who are vegetarians.
(a) Develop a point estimate of the proportion of people in the United States who are vegetarians.
0.005
(b) Set up a hypothesis test so that the rejection of H, will allow you to conclude that the proportion of people in the United
States who are vegetarians exceeds 0.004. (Enter != for + as needed.)
Ho:
p=0.004
p=0.006
(c) Conduct your hypothesis test using a = 0.05.
Find the value of the test statistic. (Round your answer to two decimal places.)
1.74
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0409
State your conclusion.
Reject H,. We can conclude that the proportion of people in the United States who are vegetarians exceeds
0.004.
Do not reject H.: We can conclude that the proportion of people in the United States who are vegetarians
exceeds 0.004.
Reject Ho. We cannot conclude that the proportion of people in the United States who are vegetarians exceeds
0.004.
Do not reject Ho:
We cannot conclude that the proportion of people in the United States who are vegetarians
exceeds 0.004.
Transcribed Image Text:Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000 people in the United States, VeganBits found 60 who are vegetarians. (a) Develop a point estimate of the proportion of people in the United States who are vegetarians. 0.005 (b) Set up a hypothesis test so that the rejection of H, will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for + as needed.) Ho: p=0.004 p=0.006 (c) Conduct your hypothesis test using a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) 1.74 Find the p-value. (Round your answer to four decimal places.) p-value = 0.0409 State your conclusion. Reject H,. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. Do not reject H.: We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. Reject Ho. We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. Do not reject Ho: We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman