The Ministry of Labor has commissioned a study with manufacturing and mining establishments in Quebec on high-pressure welding work in order to provide, in association with the Ministry of Education, a sufficient number of specialized workers in the field. If more than 25% of establishments have to do high-pressure welding, more workers will have to be trained. Part of the analysis of the results obtained from 320 establishments is presented below. Choose the correct hypothesis Họ : p = 0,25 H:: pt0.25 Họ : p = 0,25 Họ : p = 0,25 03 H;: p< 0,25 01 02 H p > 0,25 H0 : p = 0,25 04 H0 : p = 0,25 O5 H0 : p = 0,25 06 H1: p+ 0,25 На : р> 0,25 H; :p< 0,25 Họ: p= p Họ : p= p Họ : p= p Hị: p+ p 09 H; :p> p Hi:p < p None of the answers: O 10 b) The Stats / List Editor gives a descriptive threshold of 0.30278831. From this result indicate, among the 320 establishments surveyed, how many had to do high-pressure welding work? c) Choose from the following sentences (1, 2, 3, 4 or 5) the one that best describes what . i) an error of the first kind, ii) a second kind error, iii) the power of the test developed in a). Sentences : 1. Decide not to train more workers when more than 25% of establishments need it. 2. Decide to train more workers when more than 25% of establishments need it. 3. Decide not to train more workers when less than 25% of establishments need it. 4. Train more workers unnecessarily when less than 25% of establishments need it. 5.None of the consequences described above. d) How many establishments must be sampled so that the risk of the first kind is limited to 10% and that the power is at least 90% when 27.7% or more of the establishments have to carry out high- pressure welding work? ?

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.