Answered: A random survey of 1003 adults were…

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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A random survey of 1003 adults were asked “Do you pretty much think televisions are a necessity or a luxury you could do without?” Of the 1003 adults surveyed, 521 indicated that televisions are a luxury that they could do without. A prop.test was run in RStudio with the following output.

1-sample proportions test with continuity correction

data: 521 out of 1003

X-squared = 1.4397, df = 1, p-value = 0.2302

alternative hypothesis: true p is not equal to 0.5

95 percent confidence interval:

0.4880087 0.5507239

sample estimates:

0.5194417

Write a conclusion that interprets the confidence interval.
prop.test also conducts a hypothesis test for a null hypothesis of p=0.5. Write a conclusion that interprets the results of the hypothesis test, be sure to explain how you made your decision.
Explain what the p-value means in this context (NOT how the p-value is used to assess your hypothesis test)

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