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Please just answer True or False. A. In the binomial distribution, as the probab

ID: 3216886 • Letter: P

Question

Please just answer True or False.

A. In the binomial distribution, as the probability of a “+” or “-” outcome differs more and more from .5, the shape of the distribution of probabilities for all possible outcomes always becomes more and more symmetrical.

B.In the sign test, the p value associated with a given number of “+” outcomes will be the same as the p value associated with the same number of “-” outcomes, when the test is two-tailed.

C. In the sign test, when the obtained result is exactly what would be expected by chance (like 9 successes out of 18 trials when P = .50), the p value (assuming you’re doing a two-tailed test) can sometimes be greater than 1.00.

D. In the sign test, if N increases from 15 to 20 and alpha is made less stringent (like from .01 to .05), the number of distinct possible outcomes (e.g., number of heads out of N) that allow rejection of H0 must decrease.

E. In the sign test, if N decreases and the size of the effect of the independent variable decreases in strength, the probability of a Type II error decreases.

F. In the sign test, as the numerical value of Preal decreases, the power of an experiment must always decrease.

Explanation / Answer

A. In the binomial distribution, as the probability of a “+” or “-” outcome differs more and more from .5, the shape of the distribution of probabilities for all possible outcomes always becomes more and more symmetrical.

Answer: FALSE

B.In the sign test, the p value associated with a given number of “+” outcomes will be the same as the p value associated with the same number of “-” outcomes, when the test is two-tailed.

Answer: FALSE

C. In the sign test, when the obtained result is exactly what would be expected by chance (like 9 successes out of 18 trials when P = .50), the p value (assuming you’re doing a two-tailed test) can sometimes be greater than 1.00.

Amswer: true

D. In the sign test, if N increases from 15 to 20 and alpha is made less stringent (like from .01 to .05), the number of distinct possible outcomes (e.g., number of heads out of N) that allow rejection of H0 must decrease.

Answer: True

E. In the sign test, if N decreases and the size of the effect of the independent variable decreases in strength, the probability of a Type II error decreases.

Answer: true

F. In the sign test, as the numerical value of Preal decreases, the power of an experiment must always decrease.

True