We want to know if people exposed to Bacillus subtilus suffer from reduced respiratory capacity. The following measurements give the ratio "volume of air emitted during one second" divided by "total volume" for 23 people exposed. Mean = 0.773 Standard deviation = 0.0892 For a person of normal constitution, this ratio is on average 0.80. It is believed that exposure to Bacillus subtilus may decrease this average ratio. Choose the correct hypothesis Họ : H = 0,80 O 1 Họ : H = X O2 Họ : = 0,80 O3 H1 : p # 0,80 H : + 0,80 Họ : H = X H; : p> X Họ : H = 0,80 Họ : = 0,80 06 H1 :p > 0,80 H; : > 0,80 Ho: μ 0,80 07 Họ : H = X 08 Họ : T = 0,80 09 H1 :p< 0,80 H;: < 0,80 None of the options: O 10 b) What is the probability of wrongly rejecting the null hypothesis based on the observed results? c) On the basis of the results observed, should we conclude that exposure to bacilius ... Lead to a significant increase in breathing capacity Lead to a significant decrease in breathing capacity I II (Using a risk of a of 5%) III Did not modify significantly the breathing capacity IV Modified significantly the breathing capacity V None of the answers d) If we set the alpha risk at 5%, calculate the effectiveness of the test if the respiratory capacity of people exposed to Bacillus subtilus is actually 0.746. e) How many individuals must be sampled for alpha to be 5% and the power associated with a respiratory capacity of 0.746 to be at least 90%? in

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