A standard roulette wheel with slots labeled 0, 00, 1, 2, 3, … , 36 is spun 60 times. Of these spins, the number 7 is spun 7 times. Assuming the wheel is fair, the probability of this occurring by chance is 0.00001. Do these results have statistical significance at the 0.01 level of significance?

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24-08-2022
Mathematics

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A standard roulette wheel with slots labeled 0, 00, 1, 2, 3, … , 36 is spun 60 times. Of these spins, the number 7 is spun 7 times. Assuming the wheel is fair, the probability of this occurring by chance is 0.00001. Do these results have statistical significance at the 0.01 level of significance?

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joaobezerra joaobezerra · Answer 1 · 2022-08-26T20:11:15+02:00

Since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.

What is the relation between the p-value and the conclusion of the test hypothesis?

Depends on if the p-value is less or more than the significance level:

If it is more, the null hypothesis is not rejected, which means that the results do not have statistical significance.

If it is less, it is rejected, which means that the results have statistical significance.

In this problem, the probability is the p-value, hence since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.

More can be learned about p-values at https://brainly.com/question/13873630

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