To determine the appropriate answer from the given table based on the cumulative probability, let's go through the steps:
1. Understand the concept: We're given a table with the cumulative probabilities for different z-scores. The cumulative probability represents the probability that a standard normal random variable will take a value less than or equal to [tex]\( z \)[/tex].
2. Identify the z-score provided: In this instance, we need to find the cumulative probability corresponding to [tex]\( z = 0.84 \)[/tex].
3. Check the table: According to the given table, for [tex]\( z = 0.84 \)[/tex], the cumulative probability is [tex]\( 0.7995 \)[/tex].
4. Find the closest provided choice: The numerical value [tex]\(0.7995\)[/tex] corresponds to a percentage when multiplied by 100, which translates to approximately 79.95%. Now, let's review the choices:
- 16%
- 34%
- 66%
- 84%
Out of these given choices, 79.95% is closest to 84%.
So, the step-by-step analysis confirms that the cumulative probability closest to [tex]\( 0.7995 \)[/tex] is best represented by 84% from the provided choices.
Thus, the correct answer is 84%.
