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    Hypothesis Testing: Testing for proportions

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    Joe thinks that no more than 20% of students in his Statistics class will get an A in the final examination. To prove his claim, he takes a random sample of 35 students and finds to his surprise that 30% of students got an A. At a 0.01 percent level of significance can we reject Joe's claim?

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    I am assuming the level of significance is 0.01 and not 0.01%. Because if it is 0.01% then it would mean that the acceptance region is 99.99 %. Which would mean that rejection region is very small

    Null Hypothesis:Ho: p=0.2
    Proportion of students getting an A is 20%
    Alternative Hypothesis:H1: > 0.2
    Proportion of students getting an A is greater than 20%

    p= 20.00% =Hypothesized proportion of students getting an A
    q=1-p= 80.00% ...

    Solution Summary

    The solution tests the hypothesis that no more than 20% of students in Statistics class will get an A in the final examination

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