Given random selection without replacement, the same sample size, and the same t

Question

Given random selection without replacement, the same sample size, and the same tolerable deviation rate for the testing of two unequal populations, the risk of assessing control risk too low for the smaller population is:

the same as the risk of assessing control risk too low for the larger population.

lower than the risk of assessing control risk too low for the larger population.

higher than the risk of assessing control risk too low for the larger population.

indeterminable relative to the risk of assessing control risk too low for the larger population.

Explanation / Answer

Sample size has an inverse relationship with the tolerable deviation rate; that is, as the tolerable deviation rate is lower, sample size increases.

Therefore, given random selection without replacement, the same sample size, and the same tolerable deviation rate for the testing of two unequal populations, the risk of assessing control risk too low for the smaller population is the same as the risk of assessing control risk too low for the larger population.

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