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

Cycle plot, The graphical method for studying the behavior of the seasonal ...

The graphical method for studying the behavior of the seasonal time series. In such a plot, the January values of seasonal component are graphed for the upcoming years, then the

Definition, what is operational gaining

what is operational gaining

Chi-squared distribution, Chi-squared distribution : It is the probability ...

Chi-squared distribution : It is the probability distribution, f (x), of the random variable de?ned as the sum of squares of the number (v) of independent standard normal variables

Dirichlet process mixture models, The nonparametric Bayesian inference appr...

The nonparametric Bayesian inference approach to using the finite mixture distributions for modelling data suspected of the containing distinct groups of observations; this approac

Rejection Region (graded), How is the rejection region defined and how is t...

How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians

Prognostic scoring system, Prognostic scoring system is a technique of com...

Prognostic scoring system is a technique of combining the prognostic information contained in the number of threat factors, in a manner which best predicts each patient's risk of

Explain literature controls, Literature controls : The patients with the di...

Literature controls : The patients with the disease of interest who have received, in the past, one of two treatments under the investigation, and for whom the results have been pu

Explain post stratification adjustment, Post stratification adjustmen t: On...

Post stratification adjustmen t: One of the most often used population weighting adjustments used in the complex surveys, in which weights for the elements in a class are multiplie

The breusch-pagan test, The Null Hypothesis - H0:  There is no heteroscedas...

The Null Hypothesis - H0:  There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1:  There is heteroscedasticity i.e. β 1 0 Reject H0 if Q = ESS/2 >

Path analysis, Path analysis  is  a device for evaluating the interrelat...

Path analysis  is  a device for evaluating the interrelationships among the variables by analyzing their correlational structure. The relationships between the variables are man

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