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

Dirichlet tessellation, A construction for events that happen in some plana...

A construction for events that happen in some planar area a, consisting of the series of 'territories' each of which comprises of that part of a closer to the particular event xi t

Define kalman filter, Kalman filter : A recursive procedure which gives an ...

Kalman filter : A recursive procedure which gives an estimate of the signal when only the 'noisy signal' can be observed. The estimate is efficiently constructed by putting the exp

Bartlett''s test for variances, Bartlett's test for variances : A test for ...

Bartlett's test for variances : A test for equality of the variances of the number (k)of the populations. The test statistic can be given as follows   where s square is an

Degenerate distributions, The special cases of the probability distribution...

The special cases of the probability distributions in which the random variable's distribution is concentrated at one point only. For instance, a discrete uniform distribution when

Chernoff''s faces, Chernoff's faces : A method or technique for representin...

Chernoff's faces : A method or technique for representing the multivariate data graphically. Each observation is represented by the computer-created face, the features of which are

Factorial moment generating function, The function of a variable t which, w...

The function of a variable t which, when extended formally as a power series in t, yields factorial moments as the coefficients of the respective powers. If the P(t) is probability

Doubly ordered contingency tables, The contingency tables in which the row ...

The contingency tables in which the row and column both the categories follow a natural order. An instance for this might be, drug toxicity ranging from mild to severe, against the

Disclosure risk, The risk of being able to recognize the respondent's confi...

The risk of being able to recognize the respondent's confidential information in the data set. Number of approaches has been proposed to measure the disclosure risk some of which c

Explain maz experiments, MAZ experiments : The Mixture-amount experiments w...

MAZ experiments : The Mixture-amount experiments which include control tests for which the entire amount of the mixture is set to zero. Examples comprise drugs (some patients do no

Ljung-box q-test, The Null Hypothesis - H0: There is no autocorrelation ...

The Null Hypothesis - H0: There is no autocorrelation The Alternative Hypothesis - H1: There is at least first order autocorrelation Rejection Criteria: Reject H0 if LBQ1 >

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