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Question Completion:
Suppose that
H subscript o : mu less or equal than 0.01
H subscript alpha : mu greater than 0.01
The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.
A. maximize the power of the test
B. maximize beta
C. minimize mu
D. maximize the significance, alpha
E. maximize 1 minus alpha
Answer:
In this case you would want to _____.
D. maximize the significance, alpha
Step-by-step explanation:
The alpha (α) denotes the significance level or the probability of rejecting the initial or null hypothesis when it is true.
A higher alpha (α) reduces the probability of committing a Type II error or not rejecting the null hypothesis. On the other hand, a higher alpha (α) makes it more probable to reject a null hypothesis when it is true (Type I error).