Giving a test to a group of students, the grades and gender are summarized below

ABC Total
Male8139 30
Female101216 38
Total182525 68


Let p\displaystyle {p} represent the proportion of all female students who would receive a grade of A on this test. Use a 96% confidence interval to estimate p to three decimal places.

Enter your answer as a tri-linear inequality using decimals (not percents).
< p <


State the point estimate for the proportion of all female students who would receive a grade of A on this test:
p\displaystyle {p}\approx

State the margin of error for the proportion of all female students who would receive a grade of A on this test:
EBP \displaystyle \approx