The null hypothesis on rolling a die is a multiple of 3 and, Basic Statistics

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The null hypothesis on rolling a die is a multiple of 3 and

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The null hypothesis on rolling a die is a multiple of 3, and the proportion of multiples of 3 is 0.33. A person rolling the die 12 times gets 8 successful rolls out of 12.

The person says that he knows how to roll a die, because the one-tailed p-value from the one-proportion z-test is 0.006, and he is using a significance level of 0.10. What is wrong with his approach?

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Basic Statistics: The null hypothesis on rolling a die is a multiple of 3 and

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Basic Statistics: The null hypothesis on rolling a die is a multiple of 3 and

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