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A local school board would like to test the hypothesis that the proportion of Americans who think ...
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A local school board would like to test the hypothesis that the proportion of Americans who think ...
A local school board would like to test the hypothesis that the proportion of Americans who think unions have a positive effect on schools has decreased this year when compared to last year. A random sample of 160 Americans last year found that 48 felt unions have a positive effect on schools. A random sample of 140 Americans this year found that 28 felt unions have a positive effect on schools. Define Population 1 as this year and Population 2 as last year and use the critical value approach to test this hypothesis with
α
= 0.05.
Textbook
Business Statistics
Edition:
2
nd
Author:
Donnelly
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-z
α
= -1.645
Because
z
p
= -1.99 is less than -
z
α
= -1.645, we reject the null hypothesis. Therefore, the school board can conclude that the proportion of Americans who think unions have a positive effect on schools has decreased this year when compared to last year.
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