Match List I with List II:List IList II(a) Alpha Level(I) The index of magnitude or strength of relationship(b) Level of Significance(II) The point at which one would reject the null hypothesis and accept the alternate hypothesis(c) Critical Region(III) Another name for alpha level(d) Effect size indicatior(IV) A marked area which would be called a rare event

Question

Prepp Team · Accepted Answer

Matching Statistical Concepts: List I with List II

This question requires matching statistical terms from List I with their corresponding definitions or descriptions in List II. Let's analyze each item to understand the correct pairings.

Understanding the Terms

Alpha Level (α): This is a crucial concept in hypothesis testing. It represents the probability of rejecting the null hypothesis when it is actually true. This is also known as the significance level.
Level of Significance: This is essentially another term for the Alpha Level. It sets the threshold for deciding whether to reject the null hypothesis based on the observed data.
Critical Region: In hypothesis testing, this is the set of outcomes or values of the test statistic that leads to the rejection of the null hypothesis. If a test statistic falls within this region, the result is considered statistically significant.
Effect Size Indicator: This measures the magnitude or strength of a phenomenon, such as the difference between groups or the strength of a relationship between variables, regardless of the sample size.

Matching Process

(a) Alpha Level with List II

The Alpha Level defines the threshold for statistical significance. If the result of a test is extreme enough (falls into the critical region), we reject the null hypothesis. Therefore, the Alpha Level relates to the point where rejection occurs.

Match: (a) corresponds to (II) The point at which one would reject the null hypothesis and accept the alternate hypothesis.

(b) Level of Significance with List II

The term Level of Significance is widely used as a synonym for Alpha Level. Both terms refer to the predetermined probability threshold for rejecting the null hypothesis.

Match: (b) corresponds to (III) Another name for alpha level.

(c) Critical Region with List II

The Critical Region encompasses the values of a test statistic that are considered unlikely to occur if the null hypothesis were true. Observing a result in this region suggests that the observed outcome is rare under the null hypothesis, leading to its rejection.

Match: (c) corresponds to (IV) A marked area which would be called a rare event.

(d) Effect size indicator with List II

Effect size quantifies how strong a relationship or difference is. It provides information about the magnitude or size of the effect being studied.

Match: (d) corresponds to (I) The index of magnitude or strength of relationship.

Final Matches

Based on the analysis, the correct matching is:

(a) Alpha Level matches (II)
(b) Level of Significance matches (III)
(c) Critical Region matches (IV)
(d) Effect size indicator matches (I)

Thus, the correct option is the one reflecting these pairings: a-(II), b-(III), c-(IV), d-(I).

Prepp Team · Answer

a-(I), b-(IV), c-(II), d-(III)

Prepp Team · Answer

a-(IV), b-(III), c-(I), d-(II)

Prepp Team · Answer

a-(II), b-(IV), c-(III), d-(I)

LIST-I		LIST-II
A. Sampling error	I.	Values that describe the characteristics of a population
B. Parameters	II.	The standard deviation of the sampling distribution
C. Sampling fraction	III.	Variation among sample statistics due to change
D. Standard error	IV.	Proportion of the population contained in a sample

List - I	List - II
A. Sample proportion P = x/n	I. $\frac{\sigma}{\sqrt{n}}$
B. Sample variance $S_1^2 = \frac{1}{n-1} \sum_{i=1}^{n}(xi-x̄)^2$	II. $\sigma^2 \sqrt{\frac{2}{n}}$
C. Sample variance $S^2 = \frac{1}{n} \sum_{i=1}^{n}(xi-x̄)^2$	III. $\sigma^2 \sqrt{\frac{2}{(n-1)}}$
D. Sample mean $\bar{x} = \frac{1}{n} \sum_{i=1}^{n}xi$	IV. $\sqrt{\frac{\pi(1-\pi)}{n}}$