Answered: In an August 2012 Gallup survey of…

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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In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.

a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.

(Be sure to state all the 5 steps involved in a hypothesis testing, Hypothesis, Observed statistic, p-value and its interpretation, decision and conclusion in context of the problem).

b. Is the Test Significant. Why or Why not.

StatKey
Randomization Test for a Proportion
Custom Data -
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Generate 1 Sample
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Reset Plot
Randomization Dotplot of Proportion Null hypothesis: p = 0.5
samples = 1000
Original Sample
Two-Tail
Right Tail
Left Tail
mean = 0.500
Count
Sample Size
Proportion
std error = 0.016
40
536
1012
0.530
Randomization Sample
30
Count
Sample Size
Proportion
528
1012
0.522
20
0.033
0.934
0.033
10
0.45
0.46
a47
0.48
0.49
0.lo
0.51
0.52
0.63
0.54
null - 0.5
0.530
0.469

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