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Hypothesis Testing

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Question 3
33%

The chance of getting a 3 on a fair spinner is 14\displaystyle \frac{1}{4}41​. The spinner is spun 12 times.

ai.

Find the probability that the spinner lands on 3 exactly 2 times.

[1]
aii.

Find the probability that the spinner lands on 3 more than 4 times.

[2]
b.

Alex believes that the spinner is not fair and the chance of the spinner landing on 3 is greater than 14\displaystyle \frac{1}{4}41​. To test this claim she spins the spinner 40 times and the spinner lands on 3 15 times. Stating your hypotheses clearly, test Alex's claim at the 5% significance level.

[4]

Hypothesis Testing Questions

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