You are testing a hypothesis at 𝛼 = 0.01. What is the probability of committing a Type I error?*99%10%1%0%None of the above

Suppose you conduct 10 hypothesis tests, each at the α=0.05 significance level. What is the probability of committing a Type I error and incorrectly rejecting a true H0 with at least one of the 10 tests?a.0.6b.0.40c.0.95d.0.05

The symbol for the probability of committing a Type I error of a statistical test isA.α B. 1 - α C.β D.1 - β

75 % level of significance means there are _____ out of 100 chances of committing type I errora.25b.75c.7.5d.0.75

Probability of a type I error

A manufacturer of electronic components claims that their production process produces resistors that are 90% defect-free.However, a customer suspects that the actual proportion of defective resistors may be much higher than that.To investigate this, a customer takes a random sample of 20 resistors from the manufacturer's production line and inspects them for defects.If three or more resistors are defective, the customer will not purchase the electronic components.Define the Null and Alternative Hypothesis;Define the Critical Value and Critical Region;Find the probability of committing a type I error assuming that manufacturer claim is True.Find the probability of committing a type II error for the alternative proportion of defected items of p=0.2.Hint: Use the Statistical Table A1 for the Binomial Probability Sums.