Step 1 :The P-value is given directly in the question as 0.5789487151. We round this to four decimal places to get \(0.5789\).
Step 2 :The null hypothesis in a 1-PropZTest is always that the proportion is equal to a certain value. In this case, the value is 0.1. Therefore, the null hypothesis is \(H_{0}: p=0.1\).
Step 3 :Final Answer: The P-value is \(\boxed{0.5789}\) and the null hypothesis is \(\boxed{H_{0}: p=0.1}\).