Question

In: Statistics and Probability

The------------------ is a probability value determined by the experimenter to define the critical values a. beta...

The------------------ is a probability value determined by the experimenter to define the critical values

a. beta level

b. standard error of the mean

c. observed value

d. alpha level

Solutions

Expert Solution

ans-> d) alpha level

The alpha level is a probability value determined by the experimenter to define the critical values.

The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true.

When the sampling distribution of the statistic is normal or nearly normal, the critical value can be expressed as a t score or as a z-score. To find the critical value, follow these steps.

  • Compute alpha (α): α = 1 - (confidence level / 100)
  • Find the critical probability (p*): p* = 1 - α/2
  • To express the critical value as a z-score, find the z-score having a cumulative probability equal to the critical probability (p*).
  • To express the critical value as a t statistic, follow these steps.
    • Find the degrees of freedom (df). Often, df is equal to the sample size minus one.
    • The critical t statistic (t*) is the t statistic having degrees of freedom equal to df and a cumulative probability equal to the critical probability (p*).

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