A researcher has good reason to suspect the following:

A researcher has good reason to suspect the following: (i) X has a positive causal relationship with Y; (ii) Z has a negative causal relationship with Y; (iii) Z has a causal relationship with X, but the direction is uncertain as there are reasonable grounds to believe that it could be positive or negative. If Z is omitted from the researcher’s analysis, will the researchers’ analysis suffer from omitted variable bias? Explain