During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 70 homes, NBC 89 homes, and independents 46 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: PABC * 0.29, PCBS + 0.28, PNBC + 0.25, PIND * 0.18 H: PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 O Ho: PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 H: PABC * 0.29, PCBS * 0.28, PNBC * 0.25, PIND + 0.18 O Ho: PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 H: The proportions are not PARC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18. O Ho: The proportions are not PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18. H: PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject Ho: There has not been a significant change in the viewing audience proportions. O Do not reject Ho. There has been a significant change in the viewing audience proportions. O Reject Ho. There has not been a significant change in the viewing audience proportions. O Reject Ho. There has been a significant change in the viewing audience proportions.
During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 70 homes, NBC 89 homes, and independents 46 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: PABC * 0.29, PCBS + 0.28, PNBC + 0.25, PIND * 0.18 H: PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 O Ho: PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 H: PABC * 0.29, PCBS * 0.28, PNBC * 0.25, PIND + 0.18 O Ho: PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 H: The proportions are not PARC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18. O Ho: The proportions are not PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18. H: PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject Ho: There has not been a significant change in the viewing audience proportions. O Do not reject Ho. There has been a significant change in the viewing audience proportions. O Reject Ho. There has not been a significant change in the viewing audience proportions. O Reject Ho. There has been a significant change in the viewing audience proportions.
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
Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
100%
Transcribed Image Text:During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample
of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 70 homes, NBC 89 homes, and independents 46 homes.
Test with a = 0.05 to determine whether the viewing audience proportions changed.
State the null and alternative hypotheses.
Но: РАВС + 0.29, Рсвs + 0.28, РNBC + 0.25, ртND # 0.18
0.29, РсBS - 0.28, PNBC 3 0.25, РIND
= 0.18
На РАВС
%3D
Ho: РАВС 0.29, Рсвs
= 0.28, PNBC
— 0.25, РIND
= 0.18
%3D
На РАВС
+ 0.29,
P CBS
+ 0.28, PNBC
+ 0.25, PIND
+ 0.18
0.28, PNBC
0.25, PIND
= 0.18
Но: РАВС 3 0.29, РсBs
H: The proportions are not PABC
%D
О.29, РсBS
0.28, PNBC
0.25, PIND
= 0.18.
0.28, PNBC
0.25, PIND
= 0.18,
Ho: The proportions are not PABC = 0.29, PCBS
0.25, PIND
%3D
= 0.18
0.29, PсвS 3D 0.28, PNBC
%3D
Ha: PABC
%3D
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
%D
State your conclusion.
Do not reject Ho. There has not been a significant change in the viewing audience proportions.
Do not reject Ho: There has been a significant change in the viewing audience proportions.
Reject Ho. There has not been a significant change in the viewing audience proportions.
Reject Ho. There has been a significant change in the viewing audience proportions.
Expert Solution
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 3 steps with 3 images
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman