Final answer:
The student's question involves computing p-values for certain z-scores in the context of hypothesis testing. This involves looking up areas on the standard normal distribution using a Z-table.
Step-by-step explanation:
The subject of the question pertains to hypothesis testing and z-scores in statistics, which falls under the broader category of Mathematics. The student is asked to find the p-value associated with given z-scores for hypothesis tests concerning a mean and a proportion. For part (a), we are looking at a left tail test with z = -1.10, and for part (b), we are considering a right tail test with z = 4.08.
To find the p-value in both instances, we refer to the standard normal distribution. In case (a), since we are dealing with a left tail test, we want the area to the left of z = -1.10. In case (b), we look at a right tail test and thus are interested in the area to the right of z = 4.08. These areas can be found using a Z-table or statistical software.
Consulting the Z-table, we find the area to the left for z = -1.10, which gives us the p-value for part (a). Similarly, we find the area to the right for z = 4.08 to obtain the p-value for part (b). These p-values help us make a decision whether to reject or not reject the null hypothesis in hypothesis testing.