Match List-I with List-II.
| List-I | List-II | ||
| (A) | Confidence level | (I) | Percentage of all possible samples that can be expected to include the true population parameter. |
| (B) | Significance level | (II) | Range that could be expected to contain the population parameter of interest. |
| (C) | Confidence interval | (III) | The probability of making wrong decision when the null hypothesis is true. |
| (D) | Standard error | (IV) | The standard deviation of the sampling distribution of a statistic. |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A)-(I), (B)-(III), (C)-(II), (D)-(IV)
(A) Confidence level
This matches (I). A 95% confidence level means that 95% of all possible samples give an interval containing the true parameter.
(B) Significance level
This matches (III). The significance level α is the probability of rejecting the null hypothesis when it is true (a Type I error).
(C) Confidence interval
This matches (II). It is the range of values expected to contain the population parameter.
(D) Standard error
This matches (IV). The standard error is the standard deviation of the sampling distribution of a statistic, for example \(\sigma/\sqrt{n}\) for the sample mean.
So the matching is (A)-(I), (B)-(III), (C)-(II), (D)-(IV).