Which of the following are types of "statistical inferences"?
(A) Point estimation
(B) Interval estimation
(C) Marginal estimation
(D) Hypothesis testing
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A), (B) and (D) only
Statistical inference draws conclusions about a population from a sample. It has two branches: estimation of parameters (by a single value or by an interval) and testing of hypotheses.
Checking the statements
(A) Point estimation — Correct. A single value from the sample, such as \(\bar{x}\), is used as the estimate of the parameter.
(B) Interval estimation — Correct. A range of values (a confidence interval) is given for the parameter.
(C) Marginal estimation — Incorrect. There is no type of statistical inference by this name.
(D) Hypothesis testing — Correct. A claim about the population is accepted or rejected on the basis of the sample.