When conducting a hypothesis test a comparison of the critic

When conducting a hypothesis test, a comparison of the critical values obtained from the z and t distributions for the same level of significance we can say : cannot compare the sizes of the critical values without knowing the degrees of freedom. the z-critical value will be the same size as the t-critical value. the z-critical value will always be larger than the t-critical value, meaning the hypothesis test will require more evidence to reject the null hypothesis when the z-distribution is used. the z-critical value will always be smaller than the t-critical value, meaning the hypothesis test will require more evidence to reject the null hypothesis when the t-distribution is used.

Solution

OPTION D: The z-critical value will always be smaller than the t-critical value.

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This is so because the t-distrbution \"plays it safe\", that is, it recognizes that it only has a sample, and it doesn\'t know some things about the population. That\'s why it will always be larger than the z-critical value.