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:
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:
Solution
Statistical Inference refers to making conclusions about a population based on a sample. For example, measuring 1000 students to draw conclusions about all students in a country.
Point estimation involves estimating a population parameter using a single value. For instance, "The average height of students is 165 cm" provides one specific number. This uses sample data to estimate population values, making it a type of statistical inference.
Interval estimation involves estimating a population parameter using a range of values. For example, "The average height is between 163 cm and 167 cm" creates a confidence interval. This uses sample data to create an interval for the population, making it a type of statistical inference.
Marginal estimation is not a standard type of statistical inference. The two main types of estimation in inference are point and interval estimation. This option serves as a distractor.
Hypothesis testing involves testing whether a claim about the population is true or false. For example, testing if "boys are taller than girls on average." This is a major type of statistical inference.
The types that are statistical inferences are (A), (B), and (D) only.
The three main types of statistical inference are:
- Point Estimation
- Interval Estimation
- Hypothesis Testing
Therefore, the correct answer is: (A), (B) and (D) only.
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