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Hypothesis Testing (Binomial)

Doc Boff Maths AS level Englisch 5 Karten

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  1. 1What is the critical region?All the test statistics that reject the null hypothesis lie within the critical region
  2. 2What is the critical value?The test statistic at the limit of the critical region
  3. 3What is the acceptance region?All test statistics that accept the null hypothesis lie within the acceptance region
  4. 4How would we know whether H1 is < or > ?If it's decreasing, then <
    If it's increasing, then >
  5. 5E.g: X~B(20,0.4) , 10% significance level where H0: p=0.4 , H1: p>0.4 Find critical region and valueUse CD Binomial on calculator
    As we get to 11 we find:
    P(x≥11) = 1-P(x≤10) = 0.1275
    P(x≥12) = 1-P(x≤11) = 0.056
    P(x≥11) is above 0.10 while P(x≥12) isn't
    Therefore the critical region is x≥12
    And the critical value is x=12

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Hypothesis Testing (Binomial)
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