9. After a long political battle, certain categories of prisoners in Rainy State have been given the right to vote in upcoming local elections. Carolyn wishes to know whether there is any difference between the proportion of eligible prisoners and the proportion of eligible nonprisoners in rainy state who will take advantage of their right to vote. She draws two random independent samples one of 125 prisoners and the other of 130 nonprisoners. The samples are drawn from the entire eligible prisoner and nonprisoner populations of Rainy State. She finds that 60% of her prisoner sample and 44% of her nonprisoner sample intend to vote. a. Why is a statistical test of significance necessary here? b. Carry out a statistical significance test, remembering to outline each step carefully. Can Carolyn conclude that the two populations are different in terms of their respective members' intentions to vote?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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9. After a long political battle, certain categories of prisoners in Rainy State have been
given the right to vote in upcoming local elections. Carolyn wishes to know whether
there is any difference between the proportion of eligible prisoners and the proportion of
eligible nonprisoners in rainy state who will take advantage of their right to vote. She
draws two random independent samples-one of 125 prisoners and the other of 130
nonprisoners. The samples are drawn from the entire eligible prisoner and nonprisoner
populations of Rainy State. She finds that 60% of her prisoner sample and 44% of her
nonprisoner sample intend to vote.
a. Why is a statistical test of significance necessary here?
b. Carry out a statistical significance test, remembering to outline each step
carefully. Can Carolyn conclude that the two populations are different in terms of
their respective members' intentions to vote?
Transcribed Image Text:9. After a long political battle, certain categories of prisoners in Rainy State have been given the right to vote in upcoming local elections. Carolyn wishes to know whether there is any difference between the proportion of eligible prisoners and the proportion of eligible nonprisoners in rainy state who will take advantage of their right to vote. She draws two random independent samples-one of 125 prisoners and the other of 130 nonprisoners. The samples are drawn from the entire eligible prisoner and nonprisoner populations of Rainy State. She finds that 60% of her prisoner sample and 44% of her nonprisoner sample intend to vote. a. Why is a statistical test of significance necessary here? b. Carry out a statistical significance test, remembering to outline each step carefully. Can Carolyn conclude that the two populations are different in terms of their respective members' intentions to vote?
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