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    carry out the following test using the binomial distribution and a 5% level of significance.

    H0: p=0.3
    H1: p>0.30
    n=20
    x=10

    X is distributed B(20,0.30)

    Does this mean that if P(x=10) < 5% (ie < 0.05) then x = 10 is in the critical region?

    Really confused!!! Please xplain really clearly

    thanks
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    I THINK, may be wrong, been a while since I've done statistics, that it's if P(X\geq10)<5%
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    (Original post by Chemhistorian)
    carry out the following test using the binomial distribution and a 5% level of significance.

    H0: p=0.3
    H1: p>0.30
    n=20
    x=10

    X is distributed B(20,0.30)

    Does this mean that if P(x=10) < 5% (ie < 0.05) then x = 10 is in the critical region?

    Really confused!!! Please xplain really clearly

    thanks
    Since your alternative hypothesis is looking for an increase in p, you are looking for a one-tailed test at the upper end.

    If your test value is x, then x is in the critical region if P(X\ge x) &lt; 0.05

    Using 10 as your test value, you need: P(X\ge 10) &lt; 0.05

    as foolsihboy said.
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