Table 1 Number of times that the BIC-based Bayes Factor (B[F.sub.10]), Vovk -Sellke maximum p-ratio (VS-MP[R.sub.10]), and p-value favours decisions towards the

alternative hypothesis or the null (Favours to [H.sub.0]) B[F.sub.10] VS-MP[R.sub.10] p-value lower than...

It can be seen that all of the P values are less than 0.05 ensuring acceptance of

alternative hypothesis at 5% level.

The results of the

alternative hypothesis condition with eight DIF items are depicted in Figure 2.

According to the assumptions made in (15), in Table 28, we can observe for IT2PE and IT2MPE-DMFP indices with the z-value of-2342856728 and -232549065.42, respectively, the hypothesis test that these indices are lower than the z-critical value that is equal to -1.645 with a significance level a of 0.05, whose z-value confirms the acceptance of the

alternative hypothesis posed in (15), demonstrating that the IT2FPCM algorithm is better than IT2FCM algorithm to z-test of the defuzzification according to IT2MPE-DMFP and IT2PE indices of validation index for the cluster found by the algorithms in the image shown in Figure 2(a).

H1:

Alternative Hypothesis; there is significant difference in the total taxes as percentage of GDP over the three periods.

(iii) Find the maximum value of [T.sub.(s:k)] (k- m + 1 [less than or equal to] s [less than or equal to] k) with the corresponding B or H and the epoch index s and the element order j are the most likely starting time and location of bias if the

alternative hypothesis [H.sub.[alpha]] is true.

Therefore, the null hypothesis is accepted and the

alternative hypothesis is rejected.

Bayes factors of .333 or less on the tails support the

alternative hypothesis. If the Bayes factor is inverted to give the posterior probability with the alternative model divided by the posterior probability with the null model, these tail values are 3 or greater supporting the

alternative hypothesis.

The

alternative hypothesis is that the new design (with new ceiling tiles, floor, pager systems, and configuration) has lower noise levels.

Alternative hypothesis: The structure of media advertising (TV) affects the attraction of clients on Bank Mellat.

(17) Under the

alternative hypothesis, systemic risk will be associated with asymptotic tail dependence in return distributions.