3c Not in critical region therefore insufficient evidence to reject B1 2.2b 6th H0. Interpret the results of a binomial There is insufficient evidence at the 5% level to suggest that the B1 3.2a distribution test in value of is not 0.3. p context. (2) (6 marks) Notes 3c Conclusion must contain context and non-assertive for first B1. Pearson Progression Step Q Scheme Marks AOs and Progress descriptor 0.37) 3.4 5th 4a M1 X~B(28, Find critical values 1.1b P(X 15) = 1 0.9454 = 0.0546 and M1dep – ⩾ and critical regions for a binomial P(X 16) = 1 0.9762 = 0.0238 – ⩾ distribution Critical region is 16 A1 1.1b X ⩾ (3) 4b In critical region therefore sufficient evidence to reject H0 B1 2.2b 6th Interpret the results There is sufficient evidence at the 5% level to suggest that the B1 3.2a of a binomial value of is bigger than 0.37. p distribution test in context. (2) (5 Notes 4a First M1 for correct distribution seen or implied. Second M1 (dependent on first) for evidence that correct probabilities for either critical value examined. 4b Conclusion must contain context and non-assertive for first B1.
3c Not in critical region therefore insufficient evidence to reject H0. B1 2.2b 6th Interpret the results of a binomial distribution test in context. There is insufficient evidence at the 5% level to suggest that the value of p is not 0.3. B1 3.2a (2) (6 marks) Notes 3c Conclusion must contain context and non-assertive for first B1. Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 4a X~B(28, 0.37) M1 3.4 5th Find critical values and critical regions for a binomial distribution P(X ⩾ 15) = 1 – 0.9454 = 0.0546 and P(X ⩾ 16) = 1 – 0.9762 = 0.0238 M1dep 1.1b Critical region is X ⩾ 16 A1 1.1b (3) 4b In critical region therefore sufficient evidence to reject H0 B1 2.2b 6th Interpret the results of a binomial distribution test in context. There is sufficient evidence at the 5% level to suggest that the value of p is bigger than 0.37. B1 3.2a (2) (5 Notes 4a First M1 for correct distribution seen or implied. Second M1 (dependent on first) for evidence that correct probabilities for either critical value examined. 4b Conclusion must contain context and non-assertive for first B1.
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