Homework Help is Here – Start Your Trial Now!
Math
Statistics
According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is lower among communit college students. She selects 352 community college students at random and finds that 122 0 them have a smart phone. In testing the hypotheses: Ho: p= 0.33 versus Ha: p < 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and # 4. 4. Find the p-value.-- 5. The communication professor should the null hypothesis.

According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is lower among communit college students. She selects 352 community college students at random and finds that 122 0 them have a smart phone. In testing the hypotheses: Ho: p= 0.33 versus Ha: p < 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and # 4. 4. Find the p-value.-- 5. The communication professor should the null hypothesis.

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
### Hypothesis Testing Example According to a Pew Research Center study, in May 2011, 33% of all American adults had a smartphone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is lower among community college students. She selects 352 community college students at random and finds that 122 of them have a smartphone. In testing the hypotheses: - **Null Hypothesis (Ho):** \( p = 0.33 \) - **Alternative Hypothesis (Ha):** \( p < 0.33 \) ### Steps for Hypothesis Testing 1. **Significance Level:** Use a level of significance of \( \alpha = 0.05 \). 2. **Data Analysis:** Use the unrounded values in Excel to find the answers for the specific calculations needed in questions #3 and #4 (details not provided). 3. **Finding the p-value:** Perform the necessary calculations to determine the p-value. 4. **Conclusion:** Decide whether to reject or fail to reject the null hypothesis based on the p-value and the level of significance. ### Instructions for Excel - Utilize Excel for precise calculations by entering the data about smartphone ownership among the selected students. - Implement the formulas needed to find the p-value and determine the statistical significance of the results. ### Conclusion The communication professor will use the results to conclude whether there is enough evidence to support her belief that the proportion of community college students with smartphones is less than the national average reported by the Pew Research Center in 2011. The action (reject or fail to reject) depends on the calculated p-value compared to the significance level.
Transcribed Image Text:### Hypothesis Testing Example According to a Pew Research Center study, in May 2011, 33% of all American adults had a smartphone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is lower among community college students. She selects 352 community college students at random and finds that 122 of them have a smartphone. In testing the hypotheses: - **Null Hypothesis (Ho):** \( p = 0.33 \) - **Alternative Hypothesis (Ha):** \( p < 0.33 \) ### Steps for Hypothesis Testing 1. **Significance Level:** Use a level of significance of \( \alpha = 0.05 \). 2. **Data Analysis:** Use the unrounded values in Excel to find the answers for the specific calculations needed in questions #3 and #4 (details not provided). 3. **Finding the p-value:** Perform the necessary calculations to determine the p-value. 4. **Conclusion:** Decide whether to reject or fail to reject the null hypothesis based on the p-value and the level of significance. ### Instructions for Excel - Utilize Excel for precise calculations by entering the data about smartphone ownership among the selected students. - Implement the formulas needed to find the p-value and determine the statistical significance of the results. ### Conclusion The communication professor will use the results to conclude whether there is enough evidence to support her belief that the proportion of community college students with smartphones is less than the national average reported by the Pew Research Center in 2011. The action (reject or fail to reject) depends on the calculated p-value compared to the significance level.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS