Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.

Question

Alexandria

Mathematics

13 April, 04:40

Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.

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Answers (1)

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Kelsey Davidson · Answer 1

Step-by-step explanation:

With a fair die, the probability of rolling a 6 is 1/6 or 0.167.

For the baked die, the low end of the confidence interval is 0.215 - 0.057 = 0.158.

Since 0.167 is within the range of the confidence interval, there is not convincing statistical evidence that a baked die will have a higher probability of rolling a 6 than a fair die.