state null hypothesis 2. State alternative hypothesis  3. state the distribution to be used for the test

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
Question
100%

1. state null hypothesis

2. State alternative hypothesis 

3. state the distribution to be used for the test 

It was reported that 46% of people believe that there is life on
other planets in the universe. A scientist does not agree with
this finding. He surveyed 120 randomly selected people and found
that 48 believed that there is life on other planets. Test the
null hypothesis that the population proportion is 0.46 against
the alternative hypothesis that it differs from 0.46, at the
0.10 level of significance.
Transcribed Image Text:It was reported that 46% of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 120 randomly selected people and found that 48 believed that there is life on other planets. Test the null hypothesis that the population proportion is 0.46 against the alternative hypothesis that it differs from 0.46, at the 0.10 level of significance.
Expert Solution
Step 1

1. The null hypothesis is defined as the test conducted under homogeneous conditions for its possible rejection under the assumption that it is true. It can be one-tailed to two-tailed. The null hypothesis is generally denoted as H0. It states the exact opposite of what an investigator or an experimenter predicts or expects. It basically defines the statement which states that there is no exact or actual relationship between the variables.

In this case, the null hypothesis H0: The population proportion 'p' is 0.46 i.e H0:p=0.46

 

2.Any alternate statement to the null hypothesis is the alternative hypothesis. The alternative hypothesis is generally denoted as H1. It makes a statement that suggests or advises a potential result or an outcome that an investigator or the researcher may expect. It has been categorized into two categories: directional alternative hypothesis and non-directional alternative hypothesis. 

In this case, the alternative hypothesis is H1: The population proportion differs from 0.46 i.e.

H1:p0.46

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
Similar questions
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