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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 19SGR
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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.
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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