Test at α = 0.01 the hypothesis that a majority (more than 50%) of students favor the plus/minus grading system at a university if in a random sample of 500 students, 280 favor the system?
Claim : To test whether that a majority(more than 50%) of students favor the plus/minus grading system at a university
Hypothesis : 

Right tailed test
Let x = number of students favor the plus/minus grading system at a university = 280
Given that
sample size = n = 500
Therefor, sample proportion is

Test statistics :

we get 
Pvalue : Pvalue for the right tailed test can be calculated as


......( By using Z table)

Level of significance = 
Decision Rule :
We Reject Ho
Conclusion : There is sufficient evidence to conclude that a majority(more than 50%) of students favor the plus/minus grading system at a university.
Test at α = 0.01 the hypothesis that a majority (more than 50%) of students favor...
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