Question

4. Based on past experience, a hiring manager believes that less than one-third of applicants are actually qualified for an entry-level position. Suppose that in a random sample of 144 applicants for this position, 63 are found to be qualified. Do the sample data support the manager's belief? Test the relevant hypotheses using a = 0.05.

Answer 1

Sokelio Rased on past experiencia biring manager boieicel :- Pescuied information its golcomby, p=6= 0.366 and x = 63, DEKKI > we mile to oblained the Comple proportion by using gives Chalails, - A Z ICICI - 63 f = 0.21875) Calculate - @ Glate the rxill and alternative hou and alternative hypothesis in he have to state the hall and alternative Elese, - Nau hypothecits it, hypothe Git its Ho: p=0.6633 - A Herotile hypothefile ils He: pco.6083 © Find the test-Gatilhic:- the test Gatistic by rising gilan data its by We have to obtained the fast Cla Hillic Elere y test-Basilic iG e-p Z= 22 PLIRT PCI-RJ

6.6875-0.66G3] - 0033 C1-0.2333) V 1014 0.10219 . 6633 0.6667) 1414 0.1042 0.299 0111 14 0.lou Je suikerb) 3*03 0.001 0.039 00 (9.653] Therefore, z test = 22.653) Cats Find the plalom, We have to oblained the pisale by asing Clata is Hers -plake it A kalalz (7-test) - [9.653) = 70.0052] Therefore, Piale As (0.0058]

Cv) acision -- and a 20.05 ils, we have to Compared the picado Ekre -Puch > . 0.0052 S 0.05- Fail to ejected run bypothesis at 220.05. Therefore Do not rejected ruud hynothesis. c) Conclusioni we have to conclude by using Gere given Clata its, on its a incaufficient evidence to Support the clam that the X=0.05.