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Math Help - Hypothesis Test Question

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    Hypothesis Test Question

    A multiple-choice quiz contains ten questions. For each questions there are one correct answer and four incorrect answers. A student gets three correct answers on the quiz. Test the hypothesis that the student is guessing.
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  2. #2
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    Quote Originally Posted by flaming View Post
    A multiple-choice quiz contains ten questions. For each questions there are one correct answer and four incorrect answers. A student gets three correct answers on the quiz. Test the hypothesis that the student is guessing.
    I don't know. But I guess it's kinda helpful knowing what the probability is.

    10 questions, 3 (questions correct answered) correct answers


    =>  \begin{pmatrix} 10 \\ 3 \end{pmatrix}

    5 choices per question;
    probability for guessing the right answer is therefor  \frac{1}{5} = 0.2;
    probability for guessing the wrong answer is therefor  \frac{4}{5} = 0.8.

    => probability("three right answers") =  \begin{pmatrix} 10 \\ 3 \end{pmatrix}*0.2^3*0.8^7 \approx 0.20

    the probability of guessing exactly 3 correct answers out of 10 is 20% (=0.2)
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  3. #3
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    Quote Originally Posted by Rapha View Post
    I don't know. But I guess it's kinda helpful knowing what the probability is.

    10 questions, 3 (questions correct answered) correct answers


    =>  \begin{pmatrix} 10 \\ 3 \end{pmatrix}

    5 choices per question;
    probability for guessing the right answer is therefor  \frac{1}{5} = 0.2;
    probability for guessing the wrong answer is therefor  \frac{4}{5} = 0.8.

    => probability("three right answers") =  \begin{pmatrix} 10 \\ 3 \end{pmatrix}*0.2^3*0.8^7 \approx 0.20

    the probability of guessing exactly 3 correct answers out of 10 is 20% (=0.2)
    Since the null hypothesis is student is guessing I think you'll actually need to calculate \Pr(X \leq 3).
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