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Question
for a specific hypothesis test, you use the given alpha, number of tails, and degrees of freedom to read the critical value on the t table. after you calculate the tstat, can you use the z tables to read the pvalue? yes no
The t - distribution and the Z - distribution (used with Z - tables) are different. The t - distribution depends on the degrees of freedom, while the Z - distribution is a standard normal distribution. When we have a t - statistic (calculated for a t - test), we can't use Z - tables to find the p - value because the t - distribution has thicker tails (especially for small sample sizes, i.e., small degrees of freedom) compared to the Z - distribution. We should use t - tables or statistical software that accounts for the t - distribution and degrees of freedom to find the p - value associated with a t - statistic.
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