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Test at α = 0.01 the hypothesis that a majority (more than 50%) of students favor...

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?

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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.   

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