These tests follow the same null and alternative hypotheses
and the null hypothesis states that panel series are nonstationary whereas alternative hypothesis states that at least one panel series is stationary.
The result showed a high consistency (Internal) and the results of the regression analysis, which was conducted right after ascertaining the fact that the analyzed variables were reliable provided an accrued support towards the proposed alternative hypotheses
. The results of the study provided a logical justification that these components play a vital role in satisfying the targeted customers of the company along with creating a general awareness of the products being offered to the customers.
Considering the test statistics characteristics of filtering, the regional innovation test statistics are constructed in a time-window for two hypotheses testing, that is, the null and alternative hypotheses
. Based on the innovations test statistics, we further develop a model bias processing procedure including bias detection, location identification, and state correction.
Analysis of the hypothesis tests' performance for plausible alternative hypotheses
finds that return skewness can cause test rejections and, even when systemic risk imparts a strong signal in stock return distributions, hypothesis tests based on CoVaR and MES may fail to detect it.
where [H.sub.0] and [H.sub.[alpha]] are the notations that indicate the null and alternative hypotheses
Another problems we may encounter in the null-hypotheses testing is what is called the fallacy of transposed conditional, that is, we conclude the truth of the alternative hypothesis based on the rejection of the null-hypotheses but the alternative hypotheses
may be rejected as well because we did not test it directly and therefore there are many other feasible alternative hypotheses
once the null-hypotheses is rejected.
Several alternative hypotheses
have been put forward, including formation like a mini binary star system.
This proposal is contrasted with the alternative hypotheses
of unidirectional geological influence on life and mutual influence that may or may not conduce to maintenance of life.
''There are now, based on genetic evidence, three alternative hypotheses
for the origin of dogs,'' said Robert Wayne of the University of California, Los Angeles, a study author.
If we are to make progress in the struggle against obesity and its related chronic diseases, he believes we must accept the existence of alternative hypotheses
of obesity, refuse to accept substandard science, and find the willingness and the resources to do better.
By thinking of specific alternative hypotheses
, we may get a better idea of the probability of another outcome if the evidence does not support the favored hypothesis.