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.

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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 -
Edit Data
Generate 1 Sample
Generate 10 Samples
Generate 100 Samples
Generate 1000 Samples
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
Transcribed Image Text:StatKey Randomization Test for a Proportion Custom Data - Edit Data Generate 1 Sample Generate 10 Samples Generate 100 Samples Generate 1000 Samples 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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