Question

what is the value of the test statistic? z = 0.84 (round to 2 decimal places) which graph represents the corresponding p - value?

Explanation:

Step1: Identify the test statistic calculation

We assume this is a z - test for a mean. The formula for the z - statistic is $z=\frac{\bar{x}-\mu}{\sigma/\sqrt{n}}$, but from the given information (maybe a previous part where $\bar{x} = 6.6$, and we need to calculate $z$ based on other parameters, but since the user has a partially filled value of $z = 0.84$ (rounded to two decimal places), we can confirm the test statistic.

Step2: Determine the p - value graph

For a two - tailed test (since the alternative hypothesis is likely two - tailed as we have two shaded regions in some of the graphs), the p - value is the area in both tails. The graph that has shaded regions in both tails (above the upper tail and below the lower tail) corresponding to the z - statistic of $z = 0.84$ (and $z=- 0.84$ for the two - tailed case) is the one where we have symmetric shaded areas around the mean. Looking at the graphs, the middle graph (the second one from the left) with symmetric blue regions in both tails (below the lower critical value and above the upper critical value) represents the two - tailed p - value for $z = 0.84$.

Answer:

The test statistic $z=\boldsymbol{0.84}$ (rounded to two decimal places). The graph with symmetric shaded regions in both tails (the second graph from the left) represents the corresponding p - value.