what is the reason the significance level of a test is not made arbitrarily small?

Answer :

The reason the significance level of a test is not made arbitrarily small -Doing so decreases the probability of correctly rejecting the null hypothesis.

When the null hypothesis is true, the level of significance is a number greater than or equal to the power function of the test among all possible values of the parameter. When the null hypothesis is true, the size of a test is the maximum value of the power function of the test among all possible values of the parameter. If no significance level is specified, use alpha = 0.05. The level of significance is the inverse of the level of estimation confidence. A claim based on the null hypothesis.

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