What can be concluded at the αα = 0.05 level of significance?
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
Only 11% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 369 randomly selected registered voters surveyed, 59 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance?
- For this study, we should use T test population for mean or Z test for a population proportion
- The null and alternative hypotheses would be:
H0:H0: p or u, <,>,= (please enter a decimal)
H1:H1: p or u, <,>,= (Please enter a decimal)
- The test statistic Z or T = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is <,> αα
- Based on this, we should fail to reject, reject, or accept the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly higher than 11% at αα = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be equal to 11%.
- The data suggest the populaton proportion is significantly higher than 11% at αα = 0.05, so there is statistically significant evidence to conclude that the the percentage of all registered voters who will vote in the upcoming election will be higher than 11%.
- The data suggest the population proportion is not significantly higher than 11% at αα = 0.05, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be higher than 11%.
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