The report "Digital Democracy Survey"t describes a large national survey. In a representative sample of Americans ages 14 to 18 years, 45% indicated that they usually use social media while watching TV. Suppose that the sample size was 700. (a) Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05. State the appropriate null and alternative hypotheses. O H,: p = 0.5 versus H,: p > 0.5 Hoip # 0.5 versus H,: p = 0.5 O Ho: p < 0.5 versus H,: p > 0.5 O Ho: p = 0.5 versus H,: p = 0.5 O Ho: P = 0.5 versus H,: p < 0.5 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H,. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Fail to reject H,. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Reject Ho. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Reject H,. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV.
The report "Digital Democracy Survey"t describes a large national survey. In a representative sample of Americans ages 14 to 18 years, 45% indicated that they usually use social media while watching TV. Suppose that the sample size was 700. (a) Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05. State the appropriate null and alternative hypotheses. O H,: p = 0.5 versus H,: p > 0.5 Hoip # 0.5 versus H,: p = 0.5 O Ho: p < 0.5 versus H,: p > 0.5 O Ho: p = 0.5 versus H,: p = 0.5 O Ho: P = 0.5 versus H,: p < 0.5 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H,. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Fail to reject H,. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Reject Ho. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Reject H,. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
![(b) Suppose that the sample size had been 100 rather than 700 and that 45% of those in the sample indicated that they
usually use social media while watching TV. Based on this sample of 100, is there convincing evidence that less than half
of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05.
State the appropriate null and alternative hypotheses.
O Ho: p = 0.5 versus H,: p + 0.5
O Ho: p = 0.5 versus H,: p < 0.5
O Ho: p < 0.5 versus H
Hoip > 0.5
O Ho: p = 0.5 versus H,: p = 0.5
O Ho: p = 0.5 versus H: p > 0.5
Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your
P-value to four decimal places.)
z =
P-value =
State the conclusion in the problem context.
Fail to reject H,. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV.
Fail to reject H.. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually
use social media while watching Tv.
Reject H,. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social
media while watching TV.
Reject Ho. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV.
(c) Explain why different conclusions were reached in the hypothesis tests of parts (a) and (b).
Getting
out of 700 people responding this way as opposed to
out of 100 pro
des
much ---Select- v evidence that fewer than half of Americans ages 14 to 18 years usually use social media while
watching TV.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f11b0a5-f758-48c2-911f-774d5e291a60%2F3950096f-8003-40da-bcc3-b32c21ffd02b%2Faqt48pi_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Suppose that the sample size had been 100 rather than 700 and that 45% of those in the sample indicated that they
usually use social media while watching TV. Based on this sample of 100, is there convincing evidence that less than half
of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05.
State the appropriate null and alternative hypotheses.
O Ho: p = 0.5 versus H,: p + 0.5
O Ho: p = 0.5 versus H,: p < 0.5
O Ho: p < 0.5 versus H
Hoip > 0.5
O Ho: p = 0.5 versus H,: p = 0.5
O Ho: p = 0.5 versus H: p > 0.5
Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your
P-value to four decimal places.)
z =
P-value =
State the conclusion in the problem context.
Fail to reject H,. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV.
Fail to reject H.. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually
use social media while watching Tv.
Reject H,. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social
media while watching TV.
Reject Ho. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV.
(c) Explain why different conclusions were reached in the hypothesis tests of parts (a) and (b).
Getting
out of 700 people responding this way as opposed to
out of 100 pro
des
much ---Select- v evidence that fewer than half of Americans ages 14 to 18 years usually use social media while
watching TV.
![The report "Digital Democracy Survey"t describes a large national survey. In a representative sample of Americans ages 14 to
18 years, 45% indicated that they usually use social media while watching TV. Suppose that the sample size was 700.
(a) Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while
watching TV? Use a significance level of 0.05.
State the appropriate null and alternative hypotheses.
O Ho: p = 0.5 versus H: p > 0.5
O Ho: p + 0.5 versus H: p = 0.5
Ho: P < 0.5 versus H: p > 0.5
Ho: p = 0.5 versus H: p + 0.5
Ho: p = 0.5 versus H: p < 0.5
Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your
P-value to four decimal places.)
z =
P-value =
State the conclusion in the problem context.
Fail to reject H,. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV.
Fail to reject H.. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually
use social media while watching TV.
Reject Ho. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social
media while watching TV.
Reject Ho. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f11b0a5-f758-48c2-911f-774d5e291a60%2F3950096f-8003-40da-bcc3-b32c21ffd02b%2Fu1u8n9r_processed.png&w=3840&q=75)
Transcribed Image Text:The report "Digital Democracy Survey"t describes a large national survey. In a representative sample of Americans ages 14 to
18 years, 45% indicated that they usually use social media while watching TV. Suppose that the sample size was 700.
(a) Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while
watching TV? Use a significance level of 0.05.
State the appropriate null and alternative hypotheses.
O Ho: p = 0.5 versus H: p > 0.5
O Ho: p + 0.5 versus H: p = 0.5
Ho: P < 0.5 versus H: p > 0.5
Ho: p = 0.5 versus H: p + 0.5
Ho: p = 0.5 versus H: p < 0.5
Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your
P-value to four decimal places.)
z =
P-value =
State the conclusion in the problem context.
Fail to reject H,. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV.
Fail to reject H.. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually
use social media while watching TV.
Reject Ho. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social
media while watching TV.
Reject Ho. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman