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Translation :Question 1 (20 points):In a research whose objective is to compare the access to financing of innovative SMEs with non-innovators and to demonstrate that

Translation :Question 1 (20 points):In a research whose objective is to compare the access to financing of innovative SMEs with non-innovators and to demonstrate that the applications accepted are identical, the following data was obtained concerning the acceptance of short-term financing applications (credit margin) depending on whether SMEs are innovative or non-innovative.Table : (on attached document) Acceptance of short-term funding applications Innovative Non-innovative Sample size. 326 318Applications accepted 300 272Innovation corresponds to the integration of new ideas into commercially feasible products (goods and services) and processes or the adoption by a company of new technologies for its industry.A) Are the conditions for applying the test respected?B) Specify the statistical assumptions that we want to submit to the test.C) What is the appropriate statistic for this hypothesis test?D) What is the expression of the reduced gap that should be used here, and what is its value?E) What are, for the significance threshold of 1%, the critical values of the Reduced gap(z-score) ?F) What decision rule should be adopted?G) Is the null hypothesis that is tested favored, at the significance threshold of 1%? Justify your conclusion.

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Question 1 (20 points) : Dans une recherche dont l'objectif est de comparer l'acces au financement des PME innovatrices par rapport aux non-innovatrices et de demontrer que les demandes acceptees sont identiques, on a obtenu les donnees suivantes concernant l'acceptation des demandes de financement a court terme (marge de credit) selon que les PME soient innovantes ou non-innovantes. Acceptation des demandes de financement a court terme Innovantes Non-innovantes Taille de l'echantillon 326 318 Demandes acceptees 300 272 L'innovation correspond a l'integration de nouvelles idees dans les produits (biens et services) et procedes commercialement realisables ou l'adoption par une entreprise de technologies nouvelles pour son industrie. a) Est-ce que les conditions d'application du test sont respectees? b) Precisez les hypotheses statistiques qu'on veut soumettre au test. c) Quelle est la statistique qui convient pour ce test d'hypothese? d) Quelle est l'expression de l'ecart reduit que l'on doit utiliser ici, et quelle est sa valeur? e) Quelles sont, pour le seuil de signification de 1 %, les valeurs critiques de l'ecart reduit? f) Quelle regle de decision doit-on adopter? g) Est-ce que l'hypothese nulle qui est soumise au test est favorisee, au seuil de signification de 1%? Justifiez votre conclusion

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