Final answer:
The calculation of the probability of observing a more extreme historical density than the current density involves using the standard normal distribution and the given z0.01 value of 2.326 to determine cumulative probabilities.
Step-by-step explanation:
To calculate the probability of observing a historical density of spotted gliders that is more extreme than the current density, we need to refer to the normal distribution. We are given the z-value z0.01 which corresponds to a probability of 0.01 to the right of the z-value. The z0.01 is found to be 2.326. To find probabilities for values more extreme than our current density, we can use a standard normal distribution table or a calculator with statistical functions. The areas under the curve to the left and right will give us the probabilities of observing densities less than or greater than the current density, respectively.
If we are given the current density as a z-score, we would look for the corresponding probabilities in the standard normal distribution. If the current density is less than the z0.01, then the probability of observing a more extreme density would be 1 minus the cumulative probability up to the current density's z-score. If the current density's z-score is greater than z0.01, we look up the cumulative probability for that z-score and that directly gives us the probability of observing a more extreme density. In both cases, the final probability should be converted to a percentage and rounded to the nearest tenth of a decimal place as required.