Alternative hypothesis, Advanced Statistics

Assignment Help:

The Null Hypothesis - H0: β0 = 0, H0: β1 = 0, H0: β2 = 0, Βi = 0

The Alternative Hypothesis - H1: β0 ≠ 0, H0: β1 ≠ 0, H0: β2 ≠ 0, Βi ≠ 0      i =0, 1, 2, 3

Reject H0 if |t | > t?¹ = 1.96153 or Reject H0 when P-value ≤ α = 0.05

Predictor         Coef          SE Coef            T       P          VIF

Constant       0.37794     0.01369        27.61   0.000

totexp     -0.00119745    0.00006058  -19.77  0.000  1.272

income     -0.00007625   0.00004302  -1.77    0.077  1.282

age          0.0016660      0.0003076    5.42     0.000  1.062

nk            0.029515        0.004765      6.19     0.000  1.005

 Inverse Cumulative Distribution Function

Student's t distribution with 1514 DF

P( X <= x )        x

      0.975  1.96153

Since the constant = 27.61 > 1.96153 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.      

Since the totexp = -19.77 < 1.96153 (CV) and the P-Value is ≤ α = 0.05, there is evidence to suggest that H0 should be accepted according to the T value however the P-Value suggest otherwise but it is not significant.

Since the income = -1.77 < 1.96153 (CV) and the P-Value is ≤ α = 0.05, there is evidence to suggest that H0 should be accepted according to the T value however the P-Value suggest otherwise but it is not significant.

Since the age = 5.42 > 1.96153 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.      

Since the nk = 6.19 > 1.96153 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.


Related Discussions:- Alternative hypothesis

Principal components regression analysis, Principal components regression a...

Principal components regression analysis is a process often taken in use to overcome the problem of multicollinearity in the regression, when simply deleting a number of the expla

Evaluate the maximum flow, In the network shown below, the rst of the two ...

In the network shown below, the rst of the two numbers on each arc indicates the arc capacity and the second (in parentheses) of the two numbers indicates the current  flow. Use t

Explain Generalized poisson distribution, Generalized poisson distribution:...

Generalized poisson distribution: The probability distribution can be defined as follows:   The distribution corresponds to the situation in which the values of the rand

Curvature measures, The diagnostic tools or devices used to approach the cl...

The diagnostic tools or devices used to approach the closeness to the linearity of the non-linear model. They calculate the deviation of so-called expectation surface from the plan

Explain identification keys., Identification keys: The devices for identif...

Identification keys: The devices for identifying the samples from a set of known taxa, which contains a tree- structure where each node corresponds to the diagnostic question of t

Forecast, The particular projection which an investigator believes is most ...

The particular projection which an investigator believes is most likely to give an accurate prediction of the future value of some process. Commonly used in the context of the anal

Generate a scatter plot, Suppose we estimate the following model: Passen...

Suppose we estimate the following model: Passengersi = 1 + 2Populationi + ui a) Generate a scatter plot with passengers on the vertical axis and population on the horizonta

Cauchy distribution, Cauchy distribution : The probability distribution, f ...

Cauchy distribution : The probability distribution, f (x), can be given as follows   where α is the position of the parameter (median) and the beta β a scale parameter. Moments

Math, A statewide survey of 1,706 California adults’ residents include the ...

A statewide survey of 1,706 California adults’ residents include the following question: would you favor or oppose providing a path to citizenship for illegal immigrants in the U.S

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd