MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Only 17% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 391 randomly selected registered voters surveyed, 47 of them will vote in the upcoming election. What can be concluded at the
α
α
= 0.01 level of significance?
For this study, we should use
The null and alternative hypotheses would be:
H
0
:
H0:
(please enter a decimal)
H
1
:
H1:
(Please enter a decimal)
The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is
α
α
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
The data suggest the populaton proportion is significantly lower than 17% at
α
α
= 0.01, 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 lower than 17%.
The data suggest the population proportion is not significantly lower than 17% at
α
α
= 0.01, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be lower than 17%.
The data suggest the population proportion is not significantly lower than 17% at
α
α
= 0.01, 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 17%.
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