OCR MEI Statistics 1 6.03 Conducting a Hypothesis Test - Greater than Example

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I love your videos, you've helped me so much, especially with C1 which I think went well. But I don't get why you'd say there wasn't sufficient evidence, since the critical region is 5 or more correct answers, and Jack got 5, any explanation would be really appreciated.

Thank you! You're getting me through AS maths.

unusualname
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Why wouldn't you use P(X>7) and P(X>8) as these overlap 0.9. P(X>8) and P(X>9) are both greater than 0.9.

keanudaboy
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why do you want to calculate 5 or more rather than just considering whether his claim of 5 correctly guessed questions is significant? because surely the probability of getting more than 5 is greater than just 5

oliverchai
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i thought the answer was outputted as if we'd reject the null, could you explain from 5:47 real quick because i'm confused from that part on thanks

kimdimla