Q: Fewer than 90% of adults have a cell phone. This is a claim about a population proportion so a normal distribution is assumed. The claim undergoes a hypothesis test using a significance level of α = 0.05. The P-value based on sample data is calculated to be 0.0003.   On your graph, next highlight the P-value. (The P-value means that there is a 0.03% chance that your results could be random or happen by chance). State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Without using technical terms or symbols, state a final conclusion that addresses the original claim, i.e., fewer than 90% of adults have a cell phone. Now we will test this hypothesis using the critical value method. The z statistic is most relevant to this test. Using the z-score tables at the back of the textbook, find the z-score for a significance level of α = 0.05. This is the critical value. What is it? Sketch a normal distribution curve, plot the critical value, and highlight the critical or rejection region. (It will look similar to your curve in 2d above). The z test statistic based on sample data is -3.4. Find -3.4 on the z-score table. What is the cumulative area from the LEFT? On your graph, plot the z test statistic. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)

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
Topic Video
Question

Q: Fewer than 90% of adults have a cell phone. This is a claim about a population proportion so a normal distribution is assumed. The claim undergoes a hypothesis test using a significance level of α = 0.05. The P-value based on sample data is calculated to be 0.0003.

 

On your graph, next highlight the P-value. (The P-value means that there is a 0.03% chance that your results could be random or happen by chance).

State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)

Without using technical terms or symbols, state a final conclusion that addresses the original claim, i.e., fewer than 90% of adults have a cell phone.

Now we will test this hypothesis using the critical value method. The z statistic is most relevant to this test.

Using the z-score tables at the back of the textbook, find the z-score for a significance level of α = 0.05. This is the critical value. What is it?

Sketch a normal distribution curve, plot the critical value, and highlight the critical or rejection region. (It will look similar to your curve in 2d above).

The z test statistic based on sample data is -3.4. Find -3.4 on the z-score table. What is the cumulative area from the LEFT?

On your graph, plot the z test statistic.

State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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
  • SEE MORE 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