At university A, 46% of the undergraduate students are female. At university B, 52% of the undergraduate students are female. Suppose a random sample of 100 students from both schools was selected. Assume the sampling distribution of p hat Subscript Upper A Baseline minus p hat Subscript Upper B is approximately Normal.

What is the probability that the proportion of females selected from university A is greater than the proportion of females selected from university B?

If needed, use the z-table to answer the question.

Report your answer to 3 decimal places.