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.

Respuesta :

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.

In this exercise we have to use the knowledge of probability to calculate the chance of falling side 6 of the die, in this way we can say that:

The probability is  0.167.

This probability will be equal to writing:

[tex]1/6=0.167\\ 0.215 - 0.057 = 0.158\\ 0.167+0.057[/tex]

Since 0.167 happen inside the range of the belief in oneself interval, skilled happen not persuasive mathematical evidence that a cooked in oven die will bear a taller likelihood of something happening of rolling a 6 than a fair wither.

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