If t₃₄ = -4.322 and ? = 0.05, then what is the approximate of the p-value for a left-tailed test? A) P(T₃₄ $\le$ -4.322)

Question

If t₃₄ = -4.322 and ? = 0.05, then what is the approximate of the p-value for a left-tailed test? A) P(T₃₄ $\le$ -4.322) < 0.005. B) P(T₃₄ $\le$ -4.322) < 0.05. C) P(T₃₄ $\ge$- 4.322) < 0.05. D) P(T₃₄$\ge$ 4.322) < 0.50.

Quizplus · Accepted Answer

The notation suggests we are dealing with a test statistic (t₃₄) value of -4.322, which is significantly less than 0, indicating a result far into the left tail of the distribution. For a left-tailed test, we are interested in the probability of obtaining a test statistic as extreme or more extreme than our observed value. Since -4.322 is a large negative value, the probability (p-value) of obtaining a value less than or equal to -4.322 is very small, typically less than 0.005, making option A correct.

If T34 = -4 ≤\le≤ -4322) ≪ 0 ≤\le≤ -4322) ≪ 0 ≥\ge≥

If T₃₄ = -4 $\le$ -4322) ≪ 0 $\le$ -4322) ≪ 0 $\ge$