Answered: A recent broadcast of a television show…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A recent broadcast of a television show had a

1010

share, meaning that among

60006000

monitored households with TV sets in use,

1010%

of them were tuned to this program. Use a 0.01 significance level to test the claim of an advertiser that among the households with TV sets in use, less than

2020%

were tuned into the program. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

Identify the null and alternative hypotheses. Choose the correct answer below.

H0:

pequals=0.800.80

H1:

pless than<0.800.80

H0:

pequals=0.800.80

H1:

pnot equals≠0.800.80

H0:

pequals=0.200.20

H1:

pless than<0.200.20

Your answer is correct.

H0:

pequals=0.200.20

H1:

pgreater than>0.200.20

H0:

pequals=0.800.80

H1:

pgreater than>0.800.80

H0:

pequals=0.200.20

H1:

pnot equals≠0.200.20

The test statistic is

zequals=nothing.

(Round to two decimal places as needed.)

What is the P-Value?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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