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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 93 homes, CBS 72 homes, NBC 87 homes, and independents 48 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: PABC = 0.31, P CBS = 0.26, PNBC = 0.27, PIND = 0.16 H: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC - 0.27, PIND = 0.16. Ho: PABC = 0.31, P CBS - 0.26, PNBC = 0.27, PIND = 0.16 H: PABC * 0.31, PCBS * 0.26, PNBC * 0.27, PIND * 0.16 Ho: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. H: PABC = 0.31, P CBS = 0.26, PNBC = 0.27, PIND - 0.16 %3D %3D %3D = 0.31, PCBS * 0.26, PNBC * 0.27, PIND 0.16 Hoi PABC H: PABC - 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 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. Reject H. 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. Do not reject Ho. There has been a significant change in the viewing audience proportions. Do not reject H,e: There has not 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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 93 homes, CBS 72 homes, NBC 87 homes, and independents 48 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: PABC = 0.31, P CBS = 0.26, PNBC = 0.27, PIND = 0.16 H: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC - 0.27, PIND = 0.16. Ho: PABC = 0.31, P CBS - 0.26, PNBC = 0.27, PIND = 0.16 H: PABC * 0.31, PCBS * 0.26, PNBC * 0.27, PIND * 0.16 Ho: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. H: PABC = 0.31, P CBS = 0.26, PNBC = 0.27, PIND - 0.16 %3D %3D %3D = 0.31, PCBS * 0.26, PNBC * 0.27, PIND 0.16 Hoi PABC H: PABC - 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 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. Reject H. 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. Do not reject Ho. There has been a significant change in the viewing audience proportions. Do not reject H,e: There has not been a significant change in the viewing audience proportions.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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:You may need to use the appropriate technology to answer this question.
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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night
schedule revision yielded the following viewing audience data: ABC 93 homes, CBS 72 homes, NBC 87 homes, and
independents 48 homes.
Test with a = 0.05 to determine whether the viewing audience proportions changed.
State the null and alternative hypotheses.
Ho: PABC = 0.31, P CBS = 0.26, PNBC = 0.27, PIND = 0.16
H: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND - 0.16.
%3D
Ho: PABC
H: PABC
0.31, PCBS
0.26, PNBC = 0.27, PIND = 0.16
%3D
%3D
+ 0.31, PCBS
* 0.26, PNBC
* 0.27, PIND
* 0.16
Ho: The proportions are not PARC
0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16.
= 0.27, PIND = 0.16
Ha: PABC = 0.31, P CBS = 0.26, PNBC
%3D
= 0.31, PCBs * 0.26, PNBC
H: PABC = 0.31, PCBS = 0.26, p NBC = 0.27, PIND - 0.16
Ho: PABC
* 0.27, PIND * 0.16
!!
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.
Reject H. 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.
Do not reject Hp. There has been a significant change in the viewing audience proportions.
Do not reject Ho:
There has not 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 2 steps
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL