# Statistics Assignment Help With Critical Values Or Significant Values

## 10.7.2 Critical values or significant values:

The value of test statistic which separates the critical region and the acceptance region is called the critical value or significant value. It depends upon:

- (i) The level of significance used, and
- (ii) The alternative hypothesis, whether it is two tailed or single tailed.

As has been pointed out earlier, for large samples, the standardized variable corresponding to the statistic t viz. :

------------------------(a)

Asymptotically as n à ∞. The value of Z given by (a) under the null hypothesis is known as test statistic. The critical value of the test statistics at level of significance α for a two- tailed test is given by Zα where Zα is determined by the equation

P(|Z|> Zα) = α ------------------(1)

That is Zα is the value so that the total area of the critical region on both tails is α. Since normal probability curve is a symmetrical curve, from (1), we get

P(Z > Zα) + P(Z < -Zα) = α

- è P (Z > Zα) + P(Z >Zα) = α
- è 2P (Z > Zα) = α
- è P( Z > Zα) = α/2

That is the area of each tail is α/2. Thus Zα is the value such that area to the right of Zα is α/2 and to the left of - Zα is α/2.

In case of single tail alternative, the critical value Zα is determined so that total area to the right of it is α and for left tailed test the total area to the left of - Zα is α.

Thus the significant or critical value of Z for a single tailed test (left or right) at level of significance ‘α’ is same as the critical value of Z for a two tailed test at level of significance ‘2α’.

### Email Based Homework Help in Critical Values Or Significant Values

**To Schedule a Critical Values Or Significant Values tutoring session
To submit Critical Values Or Significant Values assignment click here.**

### Following are some of the topics in Sampling and Large Sample Tests in which we provide help:

- Procedure for testing of hypothesis
- Test Of Significance For Large Samples
- Sampling Of Attributes
- Test of significance for difference of proportions
- Sampling of Variables
- Standard Error Of Sample Mean
- Test Of Significance For Single Mean
- Test Of Significance For Difference Of Means
- Test Of Significance For The Difference Of Standard Deviations

Online Statistics Help | Statistics Math Help | Statistics probability help | Statistics help | College statistics help | Business statistics help| Elementary statistics help | Probability and statistics help | Statistics tutor | Statistic Homework help | Excel help | Mathematica help | Matlab help | MegaStat help | Minitab help | PHStat2 help | POM/QM help | R code and S-Plus help | SAS help | SPSS Help | Stata help | TDISK help | Tree Plan Help | Online Tutoring

- 24 x 7 Availability.
- Plagiarism Free.
- Trained and Certified Experts.
- Deadline Guaranteed.
- Privacy Guaranteed.
- Assignment Help Reward
- Online help for all project.
- Service for everyone
- Online Tutoring
- Free download.
- Whitepaper.

- Assignment Help
- Homework Help
- Writing Help
- Academic Writing Assistance
- Editing Services
- Plagiarism Checker Online
- Proofreading
- Research Writing Help