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In reference to the Inferential Statistics, which of the following statements are correct?

A. The number of degrees of freedom of a statistic is the number of independent varieties used to compute the statistic.

B. A confidence interval is a range that could be expected to contain the population parameter of interest.

C. In a hypothesis test, the significance level is the probability of making wrong decision when the null hypothesis is true.

D. The confidence level of the sampling distribution of a statistic is known as its standard error.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 2

A, B and C restate the standard definitions of degrees of freedom, a confidence interval, and the level of significance (the Type I error probability). D is false: it is the standard deviation of the sampling distribution, not the confidence level, that is called the standard error.

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